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MATH 225N WEEK 8 FINAL EXAM (4 VERSIONS) & MATH 225N WEEK 1, 2, 3, 4, 5, 6, 7 ASSIGNMENT AND QUIZ: STATISTICAL REASONING FOR HEALTH SCIENCES: CHAMBERLAIN COLLEGE OF NURSING |100% CORRECT Q & A|
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Chamberlain College of Nursing: MATH 225 Week 8 Final Exam (4 versions, 200 Q & A, Latest-2021/2022) / MATH 225N Week 8 Final Exam / MATH 225 Final Exam / MATH 225N Final Exam
MATH225 Week 8 Final Exam (4 versions, 200 Q & A, Latest-2021/2022) / MATH225N Week 8 Final Exam / MATH225 Final Exam / MATH225N Final Exam: Chamberlain Co... [Show More] llege of Nursing Chamberlain College of Nursing: MATH 225 Week 8 Final Exam (4 versions, 200 Q & A, Latest-2021/2022) / MATH 225N Week 8 Final Exam / MATH 225 Final Exam / MATH 225N Final Exam [Show Less]
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MATH225 Week 1 Assignment / MATH225N Week 1 Assignment: Comparing Sampling Methods (Latest, 2021/2022): Chamberlain College of Nursing |100% Correct Q & A|
MATH225 Week 1 Assignment / MATH225N Week 1 Assignment: Comparing Sampling Methods (Latest, 2021/2022): Chamberlain College of Nursing |100% Correct Q & A|... [Show More] MATH 225 Week 1 Assignment / MATH 225N Week 1 Assignment: Comparing Sampling Methods (Latest, 2021/2022): Chamberlain College of Nursing |100% Correct Q & A| MATH 225 Week 1 Assignment / MATH225N Week 1 Assignment: Comparing Sampling Methods: Statistical reasoning for health sciences (Latest): Chamberlain College of Nursing MATH 225N Week 1 Assignment / MATH225 Week 1 Assignment: Comparing Sampling Methods: Statistical reasoning for health sciences (Latest): Chamberlain College of Nursing 1. A television station plans to send a crew to a polling center on an election day. Because they do not have time to interview each individual voter, they decide to count voters leaving the polling location and ask every 20th voter for an interview. What type of sampling is this? ________________________________________ Select the correct answer below: ________________________________________ Simple random sampling Cluster sampling Stratified Sampling Systematic sampling Convenience sampling 2. In order to study the shoe sizes of people in his town, Billy samples the population by dividing the residents by age and randomly selecting a proportionate number of residents from each age group. Which type of sampling is used? ________________________________________ Select the correct answer below: ________________________________________ Systematic sampling Stratified sampling Convenience sampling Cluster sampling 3. The management of a large airline wants to estimate the average time after takeoff taken before the crew begins serving snacks and beverages on their flights. Assuming that management has easy access to all of the information that would be required to select flights by each proposed method, which of the following would be reasonable methods of stratified sampling? Select all that apply. For each day of the week, randomly select 5% of all flights that depart on that day of the week. Divide all flights into the following 4 groups on the basis of scheduled departure time: before 9:00 am, 9:00 am to 1:00 pm, 1:00 pm to 5:00 pm, and after 5:00 pm. Randomly select 5% of the flights in each group. For each crew member the airline employs, randomly select 5 flights that the crew member works. Divide the airports from which the airline's flights depart into 4 regions: Northeast, Northwest, Southwest, and Southeast. Randomly select 5% of all flights departing from airports in each region. 4. To study the mean respiratory rate of all people in his state, Frank samples the population by dividing the residents by towns and randomly selecting 12 of the towns. He then collects data from all the residents in the selected towns. Which type of sampling is used? ________________________________________ Select the correct answer below: ________________________________________ Convenience sampling Systematic sampling Stratified sampling Cluster sampling 5. When is stratified sampling appropriate? ________________________________________ Select the correct answer below: ________________________________________ Stratified sampling is a good choice when the population has multiple distinct groups that are each likely to be representative of the population as a whole. Stratified sampling is a good choice when the population has multiple distinct groups that are internally homogenous but not representative of the population as a whole. Stratified sampling is a useful method if the population is not well understood or there are no groups within the population that need to be analyzed individually. Stratified sampling is a useful method when the individuals in the population are generated in a continuous stream, like on an assembly line. 6. In reference to different sampling methods, cluster sampling includes the steps: use simple random sampling to select a set of groups; every individual in the chosen groups is included in the sample. ________________________________________ Select the correct answer below: ________________________________________ True False 7. When is cluster sampling appropriate? ________________________________________ Select the correct answer below: ________________________________________ Cluster sampling is a good choice when the population has multiple distinct groups that are each likely to be representative of the population as a whole. Cluster sampling is a good choice when the population has multiple distinct groups that are internally homogenous but not representative of the population as a whole. Cluster sampling is useful if the population is not well understood or there are no groups within the population that need to be analyzed individually. Cluster sampling is a useful method when the individuals in the population are generated in a continuous stream, like on an assembly line. 8. To study the mean head size of all people in her state, Jacqueline collects data from 20 people in her town. Which type of sampling is used? ________________________________________ Select the correct answer below: ________________________________________ Cluster sampling Stratified sampling Systematic sampling Convenience sampling 9. An executive for a large national restaurant chain with multiple locations in each of 513 counties wants to personally sample the cleanliness of the chain's restaurants throughout the country by visiting restaurants. The executive wants a good-quality sample but wants to minimize travel time and expenses. Which of the following sampling methods would be most appropriate? ________________________________________ Select the correct answer below: ________________________________________ Obtain a convenience sample by visiting the 100 restaurants that are closest to the executive's office. Obtain a systematic sample by selecting every 20th restaurant from a list that orders all restaurants by date of opening. Obtain a stratified sample by visiting 1 randomly selected restaurant in every county. Obtain a cluster sample by randomly selecting 20 counties and visiting every restaurant within those counties. 10. In order to study the wrist sizes of people in her town, Kathryn samples the population by dividing the residents by age and randomly selecting a proportionate number of residents from each age group. Which type of sampling is used? ________________________________________ Select the correct answer below: ________________________________________ Cluster sampling Convenience sampling Stratified sampling Systematic sampling 11. A manufacturer has three tool centers that each make about 1000 tools every day. In order to implement better quality-control procedures, the manager wants to start sampling the tools made each day to be able to identify issues as quickly as possible. Which sampling method would be most appropriate? ________________________________________ Select the correct answer below: ________________________________________ At the end of each day, select a random sample of 60 tools from all the tools produced that day. At the end of each day, select random samples of 20 tools from the tools produced by each tool center that day. Select the first 20 tools produced by each tool center on each day. Select every 50th tool produced by each tool center during the day. Select every 150th tool produced by any tool center during the day. 12. To study the mean blood pressure of all people in her state, Christine samples the population by dividing the residents by towns and randomly selecting 9 of the towns. She then collects data from all the residents in the selected towns. Which type of sampling is used? ________________________________________ Select the correct answer below: ________________________________________ Convenience sampling Systematic sampling Cluster sampling Stratified sampling 13. When is using a simple random sample appropriate? ________________________________________ Select the correct answer below: ________________________________________ A simple random sample should always be used if possible. A simple random sample should be used if the population is not well understood or there are no groups within the population that need to be analyzed individually. A simple random sample should be used when the population has well-defined groups that are relatively homogeneous. This will make sure each group is represented proportionally. 14. Donald is studying the eating habits of all students attending his school. He samples the population by dividing the students into groups by grade level and randomly selecting a proportionate number of students from each group. He then collects data from the sample. Which type of sampling is used? Systematic sampling Convenience sampling Stratified sampling Cluster sampling 15. A grocer receives cartons of 12 eggs in boxes of 100 cartons. In a particular month, the grocer receives 4 shipments of eggs with 20 boxes in each shipment. The grocer wants to estimate the proportion of cartons he receives this month that include at least one broken egg. Which of the following sampling methods would be most appropriate? ________________________________________ Select the correct answer below: ________________________________________ Obtain a stratified sample by examining 100 randomly selected cartons from each of the 4 shipments. Obtain a cluster sample by randomly selecting 3 boxes and examining every carton in those 3 boxes. Obtain a convenience sample by examining every carton on the grocery store's shelves one day. Obtain a systematic sample by examining the top carton in the top right corner of each box. 16. When considering different sampling methods, stratified sampling includes the steps: _______. ________________________________________ Select the correct answer below: ________________________________________ divide the population into groups; use simple random sampling to identify a proportionate number of individuals from each group list the members of the population; use simple random sampling to select a starting point in the population; let k = (number of individuals in the population)/(number of individuals needed in the sample); choose every kth individual in the list starting with the one that was randomly selected identify individuals of the population that are easily accessible; obtain data from these individuals use simple random sampling to select a set of groups; every individual in the chosen groups is included in the sample [Show Less]
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MATH225 Week 1 Assignment / MATH225N Week 1 Assignment: Variables and Measures of Data: (Latest, 2021/2022): Chamberlain College of Nursing |100% Correct Q & A|
MATH225 Week 1 Assignment / MATH225N Week 1 Assignment: Variables and Measures of Data: (Latest, 2021/2022): Chamberlain College of Nursing |100% Correct Q... [Show More] & A| MATH 225 Week 1 Assignment / MATH 225N Week 1 Assignment: Variables and Measures of Data: (Latest, 2021/2022): Chamberlain College of Nursing |100% Correct Q & A| MATH 225 Week 1 Assignment / MATH225N Week 1 Assignment: Variables and Measures of Data: Statistical reasoning for health sciences (Latest): Chamberlain College of Nursing MATH 225N Week 1 Assignment / MATH225 Week 1 Assignment: Variables and Measures of Data: Statistical reasoning for health sciences (Latest): Chamberlain College of Nursing 1. Which of the following best describes the term explanatory variable? ________________________________________ Select the correct answer below: ________________________________________ the dependent variable in an experiment a value or component of the independent variable applied in an experiment a variable that has an effect on a study even though it is neither an independent nor a dependent variable the independent variable in an experiment 2. Which of the following best describes the term qualitative? ________________________________________ Select the correct answer below: ________________________________________ a numerical characteristic of the sample the type of data that is the result of measuring the type of data that is the result of counting an attribute whose value is indicated by a label 3. A zoologist measures the birthweight of each cub in a litter of lions. What is the level of measurement of the data? ________________________________________ Select the correct answer below: ________________________________________ nominal ordinal interval ratio 4. Margaret is investigating if gender has any effect on political party associations. What is the response variable? ________________________________________ Select the correct answer below: ________________________________________ political party associations gender the number of people that are being studied none of the above 5. Timothy is collecting data on number of dental cavities. What type of data is this? ________________________________________ Select the correct answer below: ________________________________________ qualitative data discrete quantitative data continuous quantitative data none of the above 6. To determine whether or not number of siblings influences grade point average, Charles has designed a survey. What is the explanatory variable? ________________________________________ Select the correct answer below: ________________________________________ number of siblings grade point average the number of people surveyed none of the above 7. What is the type of quantitative data that is the result of measuring? ________________________________________ Select the correct answer below: ________________________________________ qualitative statistic discrete continuous 8. A new mother keeps track of the time when her baby wakes up each morning. What is the level of measurement of the data? ________________________________________ Select the correct answer below: ________________________________________ nominal ordinal interval ratio 9. A response variable is the dependent variable in an experiment. ________________________________________ Select the correct answer below: ________________________________________ True False 10. Discrete data is the type of quantitative data that is the result of counting. ________________________________________ Select the correct answer below: ________________________________________ True False 11. A political researcher asks people if they Strongly Disagree, Disagree, Agree, or Strongly Agree with various policy decisions. What is the level of measurement of the data? ________________________________________ Select the correct answer below: ________________________________________ nominal ordinal interval ratio 12. Which of the following best describes the term response variable? ________________________________________ Select the correct answer below: ________________________________________ the independent variable in an experiment a variable that has an effect on a study even though it is neither an independent nor a dependent variable the dependent variable in an experiment a value or component of the independent variable applied in an experiment 13. A climate scientist keeps track of the daily temperature, in degrees Fahrenheit, of a lake over the course of six weeks. What is the level of measurement of the data? ________________________________________ Select the correct answer below: ________________________________________ nominal ordinal interval ratio 14. Given that Ruth is collecting data on political party preference, what type of data is she working with? ________________________________________ Select the correct answer below: ________________________________________ qualitative data discrete quantitative data continuous quantitative data none of the above 15. Janice is investigating if grade level has any effect on time spent studying. What is the explanatory variable? ________________________________________ Select the correct answer below: ________________________________________ time spent studying grade level the number of people that are being studied none of the above 16. A restaurant surveys its patrons to find their favorite item on the menu. What is the level of measurement of the data? ________________________________________ Select the correct answer below: ________________________________________ nominal ordinal interval ratio 17. Which of the following is the independent variable in an experiment? ________________________________________ Select the correct answer below: ________________________________________ lurking variable explanatory variable response variable treatment 18. Angela is collecting data on the number of classes that students take. What type of data is this? ________________________________________ Select the correct answer below: ________________________________________ qualitative data discrete quantitative data continuous quantitative data none of the above 19. A pollster surveys voters and asks which candidate they support in the upcoming election. What is the level of measurement of the data? ________________________________________ Yes that's right. Keep it up! ________________________________________ nominal ordinal interval ratio 20. Given that Janet is collecting data on favorite sports teams, what type of data is she working with? ________________________________________ Select the correct answer below: ________________________________________ qualitative data discrete quantitative data continuous quantitative data none of the above 21. To determine whether or not grade level influences time spent studying, Samuel has designed a survey. What is the response variable? ________________________________________ Select the correct answer below: ________________________________________ grade level time spent studying the number of people surveyed none of the above 22. A chef keeps track of the temperature of his refrigerator in degrees Celsius. What is the level of measurement of the data? ________________________________________ Select the correct answer below: ________________________________________ nominal ordinal interval ratio 23. What term best describes data that is an attribute whose value is indicated by a label? ________________________________________ Select the correct answer below: ________________________________________ discrete quantitative statistic qualitative 24. Karen is investigating if age has any effect on political party preferences. What is the explanatory variable? ________________________________________ Select the correct answer below: ________________________________________ the number of people that are being studied age political party preferences none of the above 25. A market researcher surveys households to ask what brand of shampoo is preferred. What is the level of measurement of the data? ________________________________________ Select the correct answer below: ________________________________________ nominal ordinal interval ratio 26. Thomas is investigating if gender has any effect on political party associations. Which of the following gives the explanatory and response variables respectively? the number of people that are being studied and political party associations the number of people that are being studied and gender gender and political party associations political party associations and gender 27. Given that Angelina is collecting data on commute distance, what type of data is she working with? ________________________________________ Select the correct answer below: ________________________________________ qualitative data discrete quantitative data continuous quantitative data none of the above 28. A restaurant asks its patrons to rate the speed of the service. The options are Very Slow, Somewhat Slow, Somewhat Fast, Very Fast. What is the level of measurement of the data? ________________________________________ Select the correct answer below: ________________________________________ nominal ordinal interval ratio 29. Edward has created an experiment to test whether or not height has any effect on red blood cell count. Which of the following gives the explanatory and response variables, respectively, in this situation? ________________________________________ Select the correct answer below: ________________________________________ height and red blood cell count red blood cell count and height the number of people in the experiment and red blood cell count the number of people in the experiment and height 30. What type of data is collected if Maria is studying eye color? ________________________________________ Select the correct answer below: ________________________________________ qualitative data discrete quantitative data continuous quantitative data none of the above [Show Less]
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MATH225 Week 1 Assignment / MATH225N Week 1 Assignment: Evidence, Claims, and types: (Latest, 2021/2022): Chamberlain College of Nursing |100% Correct Q & A|
MATH225 Week 1 Assignment / MATH225N Week 1 Assignment: Evidence, Claims, and types: (Latest, 2021/2022): Chamberlain College of Nursing |100% Correct Q & ... [Show More] A| MATH 225 Week 1 Assignment / MATH 225N Week 1 Assignment: Evidence, Claims, and types: (Latest, 2021/2022): Chamberlain College of Nursing |100% Correct Q & A| MATH 225 Week 1 Assignment / MATH225N Week 1 Assignment: Evidence, Claims, and types: Statistical reasoning for health sciences (Latest): Chamberlain College of Nursing MATH225N Week 1 Assignment / MATH 225 Week 1 Assignment: Evidence, Claims, and types: Statistical reasoning for health sciences (Latest): Chamberlain College of Nursing 1. A study is planned to research the effects of drinking coffee on hours of sleep. Would an experimental or observational study design be more appropriate? ________________________________________ Select the correct answer below: ________________________________________ An observational study should be used because it is not possible to control whether or not a person drinks coffee. An observational study should be used because it is not possible to control the number of hours of sleep a person has. An experimental study should be used where the consumption of coffee is the experimental factor. An experimental study should be used where the number of hours of sleep is the experimental factor. 2. A researcher is interested in the effects of watching videos just before bed on the quality of sleep. Which of the following claims would be appropriate for this situation? Select only one answer choice. ________________________________________ Select the correct answer below: ________________________________________ Watching videos just before bed reduces quality of sleep. More than 60% of people watch videos just before going to bed. Watching 1 hour of video just before going to bed reduces the number of minutes of REM sleep by more than 10%. Watching 1 hour of video just before going to bed reduces the quality of sleep. 3. In a psychological study aimed at testing a medicine for reducing stress levels, the researcher grouped the participants into 2groups and gave the stress-reduction pill to one group and a placebo pill to another group. In the description of the above situation, determine the experimental group. ________________________________________ Select the correct answer below: ________________________________________ The group that received the stress-reduction pill is the experimental group. The group that received the placebo pill is the experimental group. Both the groups are experimental groups. Neither group is an experimental group. 4. In a survey conducted to find out the feedback of a sports program organized in a club, the organizers asked the respondents to classify their feedback as good, fair, poor, and bad. Is the study observational or experimental? If it is an experiment, what is the controlled factor? ________________________________________ Select the correct answer below: ________________________________________ The study is an observational study. The study is an experiment. The controlled factor is the feedback. The study is an experiment. The controlled factor is the ratings. The study is an experiment. The controlled factor is the respondents. 5. In a survey conducted to find out the feedback of a sports program organized in a club, the organizers asked the respondents to classify their feedback as good, fair, poor, and bad. Is the study observational or experimental? If it is an experiment, what is the controlled factor? ________________________________________ Select the correct answer below: ________________________________________ The study is an observational study. The study is an experiment. The controlled factor is the feedback. The study is an experiment. The controlled factor is the ratings. The study is an experiment. The controlled factor is the respondents. 6. A study was performed with a random sample of 513 bolts produced at one factory. What population would be appropriate for generalizing conclusions from the study, assuming the data collection methods used did not introduce biases? ________________________________________ Select the correct answer below: ________________________________________ The conclusions would apply to all bolts produced by that factory. The conclusions would apply to all bolts produced by any factory run by the same company. The conclusions would apply to all bolts of the same type produced by any manufacturer. The conclusions apply only to the bolts in the sample. 7. A researcher wants to find out the effect of the amount of protein eaten at breakfast on the aerobic performance of runners. Would an experimental or observational study design be more appropriate? ________________________________________ Select the correct answer below: ________________________________________ An experimental study should be used where the aerobic performance is the controlled factor. An experimental study should be used where the amount of protein eaten at breakfast is the controlled factor. An observational study should be used because the aerobic performance of the runners cannot be directly controlled. An observational study should be used because the amount of protein eaten at breakfast cannot be controlled. 8. In the description of the following experiment, determine the experimental factor. A pharmaceutical company conducted an experiment to test a breakfast drink for school children. The company enrolled students for the experiment in the age group of 6 to 10 and divided them into two groups. One group received the new breakfast drink with their normal breakfast, and the other group drank the same amount of a similar looking juice. Identify the experimental factor. ________________________________________ Select the correct answer below: ________________________________________ the amount of drink given to each group the students in the two groups the students who received the new breakfast drink the type of drink given to each group 9. A study was performed with a random sample of 200 people from one college. What population would be appropriate for generalizing conclusions from the study, assuming the data collection methods used did not introduce biases? ________________________________________ Select the correct answer below: ________________________________________ The conclusions should apply to all people in the same country. The conclusions should apply to all people within the same city as the college. The conclusions should apply to people at that particular college. The conclusions should apply to people at any college. The conclusions apply only to the sample. 10. A team of physicians is studying a weight-loss pill. They recruited volunteers for a study. The volunteers were in the age group of 30 to 35 and were more than 40 pounds overweight. The physicians gave the new weight-loss pill pack to one group. The other group received a pill pack that resembled the new weight-loss pill pack but was a placebo. In the description of the above situation, determine the experimental group. ________________________________________ Select the correct answer below: ________________________________________ The group that received the new weight-loss pill pack is the experimental group. The group that received a pill pack resembling the new weight-loss pill pack (the placebo pack) is the experimental group. Both the groups are experimental groups. Neither group is an experimental group. 11. A study was conducted among school students on the relationship between getting up late and getting to school late. Is this an example of an observational study or experimental study? If it is an experiment, what is the controlled factor? ________________________________________ Select the correct answer below: ________________________________________ The study is an observational study. The study is an experiment. The controlled factor is getting up late. The study is an experiment. The controlled factor is getting to school late. The study is an experiment. The controlled factor is the school students. 12. A consumer research company is interested in determining if a certain company's new refrigerator model is more efficient than the older model. What should the researchers do first? ________________________________________ Select the correct answer below: ________________________________________ Write a claim about the efficiency of the new model that can be tested. Choose a random sample of the new models to perform testing. Make some initial conclusions about the efficiency of the new model. Make some initial conclusions about the efficiency of the old model. 13. A research team is testing a product that will minimize wrinkles among women. Volunteers in the age group of 40 to 45 are included in the research. The research team gives a bottle of the solution to one group and a similar bottle of solution with no ingredients intended to lessen wrinkles to the other group. In the description of the above situation, determine the control group. The group that received the bottle of wrinkle solution is the control group. The group that received the bottle of solution that did not contain the ingredients to lessen wrinkles is the control group. Neither group is a control group. Both the groups are control groups. 14. Is a survey of the guests about their preference of food at a party an observational study or experimental study? If it is an experiment, what is the controlled factor? ________________________________________ Select the correct answer below: ________________________________________ The study is an experiment. The controlled factor is the kitty party. The study is an experiment. The controlled factor is the food. The study is an experiment. The controlled factor is the survey. The study is an observational study 25. A pharmaceutical company conducted an experiment to test a drug for controlling diabetes. The company enrolled participants for the experiment and divided them into 2 groups. One group received an inert drug, and the other group received the diabetes-control drug. In the description of the above experiment, determine the control group. ________________________________________ Select the correct answer below: ________________________________________ the group that received the inert drug is the control group the group that received the diabetic control drug is the control group both the groups are control groups neither group is a control group 15. A consumer research company is interested in determining if a certain company's new refrigerator model is more efficient than the older model. Researchers decide to investigate the claim that the new model uses 10% less electricity than the older model for the same cooling load. Which data collection method is appropriate? Select only one answer choice. ________________________________________ Select the correct answer below: ________________________________________ The company should obtain random samples of people who own each model and measure the electricity used over one month for each refrigerator. The company should obtain random samples of each model, place them in similar conditions, fill them with the same amount of water bottles, and monitor their electrical usage over one month. The company should get a random sample of the new model, place them all in similar conditions, fill them with the same number of water bottles, and monitor their electrical usage over one month. The company should obtain one new model and one old model, place them both in the same room, fill them with the same number of water bottles, and monitor their electrical usage over one month. 16. In a study to identify the effectiveness of drugs in reducing smoking habits, the study participants were grouped into 3categories. Each of the groups was assigned randomly to one type of drug, either Drug A, Drug B, or Drug C. Results were observed for a 4 week period. Is the study observational or experimental? If it is an experiment, what is the controlled factor? ________________________________________ Select the correct answer below: ________________________________________ The study is an observational study. The study is an experiment. The controlled factor is the patient groups. The study is an experiment. The controlled factor is the drug types. The study is an experiment. The controlled factor is the smoking habits. 17. A consumer research company is interested in determining if a certain company's new refrigerator model is more efficient than the older model. Which might be an appropriate claim to result from this research? ________________________________________ Select the correct answer below: ________________________________________ The new refrigerator model is more efficient than the old model. The new refrigerator model uses 10% less electricity for the same cooling load. The new refrigerator model uses about 0.5 kW/hr per day. The new refrigerator model costs less to operate than the old model. 18. In a psychological study aimed at testing a medicine for reducing stress levels, the researcher grouped the participants into 2groups and gave a stress-reduction pill to one group and a placebo pill to another group. In the description of the above situation, determine the control group. ________________________________________ Select the correct answer below: ________________________________________ The group that received the stress-reduction pill is the control group. The group that received the placebo pill is the control group. Both the groups are control groups. Neither group is a control group. 19. A candy manufacturer is interested in the distribution of colors in each of its packages of candy sold. The manufacturer randomly sample packages from multiple batches at one factory. Are the results generalizable to the company's other factories that produce the same candy? ________________________________________ Select the correct answer below: ________________________________________ Yes, because the sample was randomly chosen. No, because the other factories may have different processes or the settings on the machines may be different. No, the results are only generalizable to other factories in the same country. No, the results are only generalizable to other factories in the same state. 20. A biologist is interested in finding the relationship between the amount of sunlight and the growth rate of sunflowers. Would an experimental or observational study design be more appropriate? ________________________________________ Select the correct answer below: ________________________________________ An experimental study should be used with the growth rate of the sunflowers as the controlled factor. An observational study should be used because the amount of sunlight cannot be controlled. An experimental study should be used with the amount of sunlight as the controlled factor. An observational study should be used because the growth rate cannot be controlled. 20. To test the effectiveness of a drug proposed to relieve symptoms of depression, psychiatrists recruited volunteers for clinical tests. All of the volunteers were diagnosed with symptoms of depression. The psychiatrists provided the drug to first group and a sugar pill to the second group. In the description of the above situation, determine the control group. ________________________________________ Select the correct answer below: ________________________________________ The group that received the drug is the control group. The group that received the sugar pill is the control group. Neither group is a control group. Both the groups are control groups. 21. A scientist is interested in finding out the effect of soil quality on crop quality. Would an experimental or observational study design be more appropriate? ________________________________________ Select the correct answer below: ________________________________________ An experimental study should be used with the crop quality as the controlled factor. An observational study should be used because the soil quality cannot be controlled. An experimental study should be used with the soil quality as the controlled factor. An observational study should be used because the crop quality cannot be directly controlled. 22. A researcher is interested in the effects of watching videos just before bed on the quality of sleep. He has decided to test the claim "Watching 1 hour of video just before going to bed reduces the number of minutes of REM sleep by more than 10%." How should the number of hours of video be treated? ________________________________________ Select the correct answer below: ________________________________________ The number of hours of video should be measured for each person in the sample because variation in the amount could affect REM sleep differently. The number of hours of video should be controlled. Some measurements should be done for 1 hour of video and some should be done with no video. The number of hours of video should be controlled. All people in the sample should be asked to watch 1 hour of video. The number of hours of video should be controlled. All people in the sample should be asked to watch no video before bed. 23. In the description of the following experiment, determine the experimental factor. A team of physicians testing a new liquid drug taken using an inhaler for treating colds gave the drug to one group of volunteers enrolled for the test. They gave the other group water using the same kind of inhaler. ________________________________________ Select the correct answer below: ________________________________________ whether or not the subject's cold was cured the type of liquid received by each group the new liquid drug all of the people in the study 24. A candy manufacturer is interested in the distribution of colors in each of its packages of candy sold. Which question is appropriate for their research? ________________________________________ Select the correct answer below: ________________________________________ What is the typical distribution of colors for the packages of candies? What is the favorite color of most consumers of the candy? All of the packages of candy have the same color distribution. Most people who eat the candy prefer the red ones. 25. Is an online poll asking the preferred mobile phone type used by school children an observational study or experimental study? If it is an experiment, what is the controlled factor? ________________________________________ Select the correct answer below: ________________________________________ The study is an experiment. The controlled factor is the students. The study is an observational study. The study is an experiment. The controlled factor is the type of mobile phone. The study is an experiment. The controlled factor is the online poll. [Show Less]
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MATH225 Week 2 Assignment / MATH225N Week 2 Assignment: (Latest, 2021/2022): Frequency Tables Q & A: Chamberlain College of Nursing |100% Correct Q & A|
MATH225 Week 2 Assignment / MATH225N Week 2 Assignment: (Latest, 2021/2022): Frequency Tables Q & A: Chamberlain College of Nursing |100% Correct Q & A| M... [Show More] ATH 225 Week 2 Assignment / MATH 225N Week 2 Assignment: (Latest, 2021/2022): Frequency Tables Q & A: Chamberlain College of Nursing |100% Correct Q & A| MATH225 Week 2 Assignment / MATH 225N Week 2 Assignment: (Latest): Frequency Tables Q & A : Statistical reasoning for health sciences: Chamberlain College of Nursing MATH225N Week 2 Assignment / MATH 225 Week 2 Assignment: (Latest): Frequency Tables Q & A : Statistical reasoning for health sciences: Chamberlain College of Nursing 1. A data set is summarized in the frequency table below. Using the table, determine the number of values less than or equal to 5. Give your answer as a single number. For example if you found the number of values was 19, you would enter 19. Value Frequency 3 9 4 4 5 3 6 7 7 6 8 3 9 3 10 5 11 4 ________________________________________ Provide your answer below:16 2. Given the frequency table, how many times does the data value 3 show up in the data set? Data Frequency 1 3 3 5 4 2 6 3 8 11 10 3 Answer : 5 3. A group of students were surveyed about the number of siblings they have. The frequencies and relative frequencies of their responses are shown in the below. Complete the cumulative relative frequency table. Number of Siblings Relative Frequency 0 0.18 1 0.33 2 0.16 3 0.14 4 or more 0.19 ________________________________________ Provide your answer below:.18, .51, .67, .81, 1.0 4. Given the relative frequency table below, which of the following is the corresponding cumulative relative frequency table? Value Frequency 4 0.35 5 0.2 6 0.05 7 0.4 HelpCopy to ClipboardDownload CSV ________________________________________ Select the correct answer below: ________________________________________ Value Frequency 4 0.3 5 0.6 6 0.65 7 1 Value Frequency 4 0.35 5 0.6 6 0.65 7 1 Value Frequency 4 0.3 5 0.55 6 0.6 7 1 Value Frequency 4 0.35 5 0.55 6 0.6 7 1 5. A group of students were surveyed about the number of books they read last summer. Their responses are summarized in the frequency table below. How many students responded to the survey? Number of Books Frequency 0−1 2 2−3 9 4−5 7 6−7 3 8−9 1 10 or more 2 ________________________________________ Provide your answer below:24 ________________________________________ 6.The ages of the students in an art class at the community center are listed below. 9,11,14,14,16,21,24,26,32,33,37,38,38,52,53,55 Complete the frequency table.1,4,3,5,0,3 ________________________________________ Yes that's right. Keep it up! ________________________________________ 7. A data set is summarized in the frequency table below. Using the table, determine the number of values less than or equal to 7 in the data set. Give your answer as a single number. For example if you found the number of values was 16, you would enter 16. Value Frequency 3 8 4 4 5 3 6 2 7 2 8 7 9 3 10 6 11 3 12 7 ________________________________________ Provide your answer below:19 8. A data set is summarized in the frequency table below. Using the table, determine the number of values less than or equal to 6. Give your answer as a single number. For example if you found the number of values was 14, you would enter 14. Value Frequency 1 5 2 3 3 2 4 3 5 4 6 3 7 8 8 3 9 7 10 8 11 3 ________________________________________ Provide your answer below:20 9. As the manager of a store, you wish to determine the amount of money that people who visit this store are willing to spend on impulse buys on products placed near the checkout register. You sample twenty individuals and records their responses. Construct a frequency table for grouped data using five classes. 8,18,15,10,29,4,15,2,4,9,16,14,13,8,25,25,27,1,15,24 ________________________________________ Provide your answer below: lower Class Limit Upper Class Limit Frequency 1 6 4 7 12 4 13 18 7 19 24 1 25 30 4 10.As a member of a marketing team, you have been tasked with determining the number of DVDs that people have rented over the past six months. Their responses are summarized in the relative frequency table below. What is the cumulative relative frequency of customers who rent 27 or fewer DVDs? ________________________________________ Provide your answer below:.85 ________________________________________ Number of DVDs Rented Relative Frequency Cumulative Frequency 10-15 0.30 0.30 16-21 0.35 0.65 22-27 0.20 28-33 0.15 1.00 11.Given the relative frequency table below, which of the following is the corresponding cumulative relative frequency table? "Value " " Frequency " "4 " " 0.28 " "5 " " 0.24 " "6 " " 0.04 " "7 " " 0.2 " "8 " " 0.24 " ________________________________________ Select the correct answer below: ________________________________________ Value Frequency 4 0.28 5 0.6 6 0.68 7 0.84 8 1 Value Frequency 4 0.28 5 0.6 6 0.64 7 0.84 8 1 Value Frequency 4 0.28 5 0.52 6 0.56 7 0.76 8 1 Value Frequency 4 0.28 5 0.56 6 0.6 7 0.8 8 1 12. Several executives were asked how many suits they own. The results are tabulated in the following frequency table. Which histogram accurately summarizes the data? "Value " " Frequency " "8 " " 6 " "9 " " 5 " "10 " " 3 " "11 " " 5 " "12 " " 3 " "13 " " 2 " ________________________________________ Select the correct answer below: ________________________________________ 13. Describe the shape of the given histogram. ________________________________________ Select the correct answer below: ________________________________________ uniform unimodal and symmetric unimodal and left-skewed unimodal and right-skewed Bimodal 14. Several people were asked to report the number of hours of sleep they average per night. The results are shown in the histogram below. How many of those people average between 4.5 and 6.5 hours of sleep per night? Provide your answer below:11 ________________________________________ $$ 15. Describe the shape of the given histogram. ________________________________________ Select the correct answer below: ________________________________________ uniform unimodal and symmetric unimodal and left-skewed unimodal and right-skewed bimodal 16. The histogram below represents the prices of digital SLR camera models at a store. Describe the shape of the distribution. Select the correct answer below: ________________________________________ uniform unimodal and symmetric unimodal and left-skewed unimodal and right-skewed Bimodal 17. Given the following histogram for a set of data, how many values in the data set are between 5.5 and 8.5? ________________________________________ Provide your answer below:17 18. Describe the shape of the given histogram. ________________________________________ Select the correct answer below: ________________________________________ uniform unimodal and symmetric unimodal and left-skewed unimodal and right-skewed Bimodal 19. A professor gave students a test, and the distribution of the scores of the students is shown in the histogram below. What shape does the distribution have? ________________________________________ Select the correct answer below: ________________________________________ uniform unimodal and symmetric unimodal and left-skewed unimodal and right-skewed Bimodal 20. The author of a book wants to know what price his book is being sold for. He gets the price from all the bookstores in a city and creates a histogram of the results. What is the shape of the distribution? ________________________________________ Select the correct answer below: ________________________________________ uniform unimodal and symmetric unimodal and left-skewed unimodal and right-skewed bimodal 21. Given the following histogram for a set of data, how many values in the data set are between 7.5 and 9.5? ________________________________________ Provide your answer below:4 22. Gail is a car salesperson, who keeps track of her sales over time. The line graph below shows the data for the number of cars she sells per week. At what week were her sales 8? Do not include the unit in your answer. ________________________________________ Provide your answer below:5 23. Porter is keeping track of the total number of books he has read over time. The line graph below shows the data. How many books did Porter read from month 2 to 5? Do not include the unit in your answer. ________________________________________ Provide your answer below: 11-4 = 7 24. The bar graph below shows the number of men and women in different classes. How many total students are in the computer science class? Do not include the units in your answer. ________________________________________ Provide your answer below:29 25. The bar graph below shows the number of men and women in different classes. A side-by-side bar graph has a horizontal axis labeled Classes with groups Chemistry and Law and a vertical axis labeled Students from 0 to 14 in increments of 2. There are two vertical bars over each horizontal axis label, with the bar on the left representing men and the bar on the right representing women. The heights of the bars are as follows, with the horizontal axis label listed first and the bar heights listed second from left to right: Chemistry, 14 and 11; and Law, 12 and 13. How many total students are in the Chemistry class? Do not include the units in your answer. ________________________________________ Provide your answer below:25 26. An accounting manager is conducting research on how many times each accountant in the office checks their work. The following table shows the number of times each accountant checks their work. Check Work Frequency None 6 Once 3 Twice 2 Three times 0 Four times 0 27. The accounting manager encourages accountants to check their work at least two times to ensure there are no calculation errors. According to the data above, should the accounting manager be concerned about errors made in the work conducted at the office? ________________________________________ Select the correct answer below: ________________________________________ No, the accounting manager should not be concerned because everyone in the office is checking their work at least two times. No, the accounting manager should not be concerned because everyone in the office is checking their work at least three times. Yes, the accounting manager should be concerned because no one in the office is checking their work. Yes, the accounting manager should be concerned because a majority of employees are not checking their work. 28. Jackie invited her friends over for a movie night. She asked each of her friends coming over about their favorite movie snack. The following table shows the favorite movie snacks of her friends. Movie Snack Frequency Popcorn 14 Nachos 3 Candy 8 Pizza 6 Chips 3 Ice Cream 2 29. If Jackie can only get two movie snacks for a movie night with her friends, which two movie snacks should she purchase? ________________________________________ Select the correct answer below: ________________________________________ According to the data, Jackie should purchase popcorn and candy. According to the data, Jackie should purchase nachos and candy. According to the data, Jackie should purchase pizza and chips. According to the data, Jackie should purchase ice cream and chips. 30. Marc is keeping track of the total number of movies he has watched over time. The line graph below shows the data where the number of movies corresponds to the number of movies that had been watched at the beginning of the week shown on the horizontal axis. How many movies did Marc watch between the beginning of week 1 and the beginning of week 5? Do not include the unit in your answer. ________________________________________ Provide your answer below:7 31. Josslyn is a car salesperson who keeps track of her sales over time. The line graph below shows how many cars she sells per week. What was the change in cars sold from week 2 to 6? Do not include the unit in your answer. ________________________________________ Provide your answer below:-8 (negative 8) 32. A set of data is summarized by the stem and leaf plot below. Stem1234Leaf1356671123348900002367788811122334567777 ________________________________________ Provide your answer below: ________________________________________ There are 8values in the data set which are greater than or equal to 20 and less than or equal to 29. There are 6values in the data set which are greater than or equal to 10 and less than or equal to 19. There are 14values in the data set which are greater than or equal to 40 and less than or equal to 49. 33. A set of data is summarized by the stem and leaf plot below. Stem1234Leaf000011223445899990123667788890000001345567999923335567777889 Which of the following statements are true? Select all correct answers. ________________________________________ Select all that apply: ________________________________________ • The value 18 appears 0 times in the data set. • ________________________________________ • The value 39 appears 4 times in the data set. • ________________________________________ • The value 21 appears 2 times in the data set. • ________________________________________ • The value 37 appears 0 times in the data set. • ________________________________________ • The value 42 appears 1 time in the data set. • ________________________________________ • The value 22 appears 1 time in the data set. 34. A set of data is summarized by the stem and leaf plot below. Stem12Leaf11223344667789126899 ________________________________________ Provide your answer below: ________________________________________ There are 6values in the data set which are greater than or equal to 20 and less than or equal to 29. There are 14values in the data set which are greater than or equal to 10 and less than or equal to 19. 35. [Show Less]
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MATH225 Week 2 Quiz / MATH225N Week 2 Quiz: Comparing Sampling Methods: (Latest, 2021/2022): Chamberlain College of Nursing |100% Correct Q & A|
MATH225 Week 2 Quiz / MATH225N Week 2 Quiz: Comparing Sampling Methods: (Latest, 2021/2022): Chamberlain College of Nursing |100% Correct Q & A| MATH 225 ... [Show More] Week 2 Quiz / MATH 225N Week 2 Quiz: Comparing Sampling Methods: (Latest, 2021/2022): Chamberlain College of Nursing |100% Correct Q & A| MATH225 Week 2 Quiz / MATH 225 Week 2 Quiz: (Latest): Comparing Sampling Methods: Statistical reasoning for health sciences: Chamberlain College of Nursing MATH225N Week 2 Quiz / MATH 225N Week 2 Quiz: Comparing Sampling Methods: (Latest): Statistical reasoning for health sciences: Chamberlain College of Nursing Question 1 A company has developed a wristband for monitoring blood sugar levels without requiring direct blood samples. It is interested in demonstrating the accuracy of the device for governmental approval and has decided to test the claim "The glucose level reported by the wristband is within 10% of a standard blood test result." Which of the following data collection processes would be appropriate? Select only one answer choice. ________________________________________ Select the correct answer below: ________________________________________ Choose a random sample of employees at lunchtime and measure their blood sugar using both the wristband and a standard blood test. Choose a random sample of people from the local area and random times throughout the day and measure their blood sugar using both the wristband and a standard blood test. Choose a random sample of people from the local area and random times and measure their blood sugar using the wristband. Choose another random sample of people and random times and measure their blood sugar using the standard blood test. Go to a hospital and have the doctors choose a random sample of patients to be tested at random times using both the wristband and the standard blood test. Question 2 A farmer divided his piece of land into 4 equivalent groups. The quality of the soil is the same across the 4 groups of land. He planted the same crop in all 4 groups of land and recorded the yield of the crop in all 4 groups for a 4 week period. Is the study observational or experimental? If it is an experiment, what is the controlled factor? ________________________________________ Select the correct answer below: ________________________________________ The study is an observational study. The study is an experiment. The controlled factor is the 4 week observation period. The study is an experiment. The controlled factor is the land. The study is an experiment. The controlled factor is the growth of the crops. Question 3 To test the effectiveness of a drug proposed to relieve symptoms of headache, physicians included participants for a study. They gave the drug to one group and a drug with no therapeutic effect to another group. Which group receives the placebo? ________________________________________ Select the correct answer below: ________________________________________ the physicians the group that received the drug for headache the group that received the drug with no therapeutic effect all of the people in the study Question 4 Matthew has created a survey to test whether or not gender has any effect on political party associations. What is the explanatory variable in this situation? ________________________________________ Select the correct answer below: ________________________________________ the number of people surveyed political party associations gender none of the above Question 5 Is the statement below true or false? Continuous data are the type of quantitative data that is the result of measuring. ________________________________________ Select the correct answer below: ________________________________________ True False Question 6 A doctor notes her patient's temperature in degrees Fahrenheit every hour to make sure the patient does not get a fever. What is the level of measurement of the data? ________________________________________ Select the correct answer below: ________________________________________ nominal ordinal interval ratio Question 7 Karen wants to estimate the mean number of siblings for each student in her school. She records the number of siblings for each of 200 randomly selected students in the school. What is the sample? ________________________________________ Select the correct answer below: ________________________________________ the 200 randomly selected students the specific number of siblings for each randomly selected student all the students in the school the mean number of siblings for the randomly selected students the mean number of siblings for all students in the school Question 8 True or False? In reference to different sampling methods, systematic sampling includes the steps: divide the population into groups; use simple random sampling to identify a proportionate number of individuals from each group. ________________________________________ Select the correct answer below: ________________________________________ True False Question 9 While standing on a highway overpass, Jennifer wonders what proportion of the vehicles that pass on the highway below are trucks. The highway has 4 lanes running in each direction. Jennifer is only interested in the proportion of vehicles that pass over the course of the hour that she spends there. Which of the following sampling methods would be best for Jennifer to employ? ________________________________________ Select the correct answer below: ________________________________________ Obtain a cluster sample by randomly selecting 3 of the 36 numbers and letters that might be at the beginning of a license plate, and select every vehicle whose license plate starts with one of those 3 numbers or letters. Obtain a convenience sample by watching 1 lane and selecting every vehicle that passes in that lane. Obtain a systematic sample by selecting every 20th vehicle that passes (in any lane and going in any direction). Obtain a stratified sample by, during every minute, spending 712 second watching each of the 8 lanes and selecting the last vehicle that passes during the time it is being watched (or the first vehicle after that time if no cars pass during that time). Question 10 As a member of a marketing team, you have been tasked with determining the number of DVDs that people have rented over the past six months. You sample twenty adults and decide that the best display of data is a frequency table for grouped data. Construct this table using four classes. 15,30,28,19,14,18,28,19,10,19,10,24,14,18,24,27,10,18,16,23 ________________________________________ Provide your answer below Question 11 The values and relative frequencies for a set of data are shown below. Complete the cumulative relative frequency table. ________________________________________ Provide your answer below: ________________________________________ Data Value Relative Frequency Cumulative Relative Frequency 1 0.12 2 0.23 3 0.34 4 0.31 Question 12 The histogram below displays the weights of rainbow trout (in pounds) caught by all visitors at a lake on a Saturday afternoon. According to this histogram, which range of weights (in pounds) contains the lowest frequency? A histogram has a vertical axis labeled Frequency and has a horizontal axis that measures six categories of rainbow trout weight (in pounds). Reading from left-to-right, the weight and frequency of each category are: 4.5 to 6.5 has frequency of 4, 6.5 to 8.5 has frequency 5, 8.5 to 10.5 has frequency 7, 10.5 to 12.5 has frequency 3, 12.5 to 14.5 has frequency 1, 14.5 to 16.5 has frequency 2. ________________________________________ Provide your answer below: 12.5-14.5 Question 13 Describe the shape of the given histogram. A histogram has a horizontal axis from 0 to 16 in increments of 2 and a vertical axis labeled Frequency from 0 to 10 in increments of 2. The histogram contains vertical bars of width 1 starting at the horizontal axis value 0. The heights of the bars are as follows, where the left horizontal axis label is listed first and the frequency is listed second: 0, 0; 1, 0; 2, 6; 3, 6; 4, 7; 5, 6; 6, 6; 7, 6; 8, 7; 9, 6; 10, 6; 11, 6; 12, 6; 13, 7; 14, 0; 15, 0. ________________________________________ Select the correct answer below: ________________________________________ uniform unimodal and symmetric unimodal and left-skewed unimodal and right-skewed bimodal Question 14 A set of data is summarized by the stem and leaf plot below. ________________________________________ Provide your answer below: ALL ARE CORRECT ________________________________________ There are values in the data set which are greater than or equal to 10 and less than or equal to 19. There are values in the data set which are greater than or equal to 30 and less than or equal to 39. There are values in the data set which are greater than or equal to 20 and less than or equal to 29. Question 15 The bar graph below shows the number of boys and girls in different classes. A bar graph has a horizontal axis labeled Classes and a vertical axis labeled Students from 0 to 16 in increments of 2. There are two vertical bars above each horizontal axis label, with the bar on the left representing Boys and the bar on the right representing Girls. The bars have heights as follows, with the horizontal axis label listed first and the bar heights listed second from left to right: Mrs. Brown, 10 and 15; Ms. James, 11 and 12. How many total students are in Ms. James's class? Do not include the units in your answer. ________________________________________ Provide your answer below: 23 Question 16 The line graph shown below represents the number of TVs in a house by square footage (in hundreds of feet). According to the information above, which of the following is an appropriate analysis of square footage and TVs? A line graph has an x-axis labeled Square Footage (in hundreds of feet) in increments of one, and a y-axis labeled Number of TV's in increments of one. Beginning at the point start parentheses 6,2 end parentheses, a line increases to the point start parentheses 8.5,3 end parentheses. The line remains constant to the point start parentheses 10,3 end parentheses. The line then increases, passing through the point start parentheses 12,5 end parentheses and continues increasing until it reaches the point start parentheses 16,6 end parentheses. ________________________________________ Select the correct answer below: ________________________________________ From the data, the number of TVs doubled from a square footage of 8.5 and 10. From the data, there is a steady decrease in the square footage and number of TVs. From the data, there is a steady increase in the square footage and number of TVs. From the data, when the square footage is between 8.5 and 10, the number of TVs remains the same. Question 17 Ashley is reviewing past monthly credit card statements. The statements are summarized in the relative frequency table below. What is the cumulative relative frequency of credit card statements that are $1245 or less? ________________________________________ Provide your answer below: ANSWER IS CORRECT 0.50 ________________________________________ Question 18 The bar graph below shows the number of men and women in different clubs. A side-by-side bar graph has a horizontal axis labeled Clubs with the classes Drama and Computer and a vertical axis labeled Students from 0 to 16 in increments of 2. Two vertical bars are above each horizontal axis label with the left bar representing Men and the right bar representing Women. The bars have heights as follows, with the horizontal axis label listed first and the bar height listed second: Drama, 11 and 16; Computer, 14 and 14. How many total students are in the Drama Club? ________________________________________ Provide your answer below: ANSWER IS CORRECT 27 ________________________________________ $$ students Question 19 An English professor asks her students who their favorite character is in the novel they are reading. What is the level of measurement of the data? ________________________________________ Select the correct answer below: ________________________________________ nominal ordinal interval ratio Question 20 Jessica is keeping track of her favorite stock's price. The line graph below shows the data. A line graph titled Stock Price Over Time has a horizontal X-axis labeled Days from 0 to 5 in increments of 1 and a vertical Y-axis labeled Price from 0 to 14 in increments of 2. The graph consists of 6 plotted points connected by line segments from left to right. The coordinates of the plotted points are at left-parenthesis 0 comma 13 right-parenthesis, left-parenthesis 1 comma 3 right-parenthesis, left-parenthesis 2 comma 10 right-parenthesis, left-parenthesis 3 comma 4 right-parenthesis, left-parenthesis 4 comma 14 right-parenthesis, and left-parenthesis 5 comma 12 right-parenthesis. At what day was the price 10? ________________________________________ Provide your answer below:CORRECT ANSWER 2 ________________________________________ $$day Question 21 ________________________________________ Provide your answer below:ANSWERS IN BOXES CORRECT ________________________________________ The value 10 appears time(s) in the data set. The value 14 appears time(s) in the data set. Question 22 Describe the shape of the given histogram. A histogram has a horizontal axis from 0 to 16 in increments of 2 and a vertical axis labeled Frequency from 0 to 10 in increments of 2. The histogram contains vertical bars of width 1 starting at the horizontal axis value 0. The heights of the bars are as follows, where the left horizontal axis label is listed first and the frequency is listed second: 0, 0; 1, 1; 2, 1; 3, 2; 4, 3; 5, 5; 6, 7; 7, 8; 8, 8; 9, 6; 10, 5; 11, 3; 12, 2; 13, 2; 14, 1; 15, 0. ________________________________________ Select the correct answer below: ________________________________________ uniform unimodal and symmetric unimodal and left-skewed unimodal and right-skewed bimodal Question 23 A data set is summarized in the frequency table below. Using the table, determine the number of occurrences of values greater than or equal to 6. Value Frequency 0 7 1 5 2 3 3 2 4 3 5 5 6 0 7 9 8 1 9 6 10 4 Give your answer as a single number. For example if you found the number of values was 23, you would enter 23. ________________________________________ Provide your answer below: 20 Question 24 Timothy wants to estimate the mean number of siblings for each student in his school. He records the number of siblings for each of 75 randomly selected students in the school. What is the statistic? ________________________________________ Select the correct answer below: ________________________________________ the specific number of siblings for each randomly selected student the 75 randomly selected students the mean number of siblings for the randomly selected students the mean number of siblings for all students in the school all the students in the school Question 25 In a psychological study aimed at testing a drug that reduces anxiety, the researcher grouped the participants into 2 groups and gave the anxiety-reduction pill to one group and an inert pill to another group. Which group receives the placebo? ________________________________________ Select the correct answer below: ________________________________________ the group that received the anxiety-reduction pill the psychological study all the people in the study the group that received the inert pill [Show Less]
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MATH225 Week 3 Assignment / MATH225N Week 3 Quiz: Central Tendency Q & A (Latest, 2021/2022): Chamberlain College of Nursing |100% Correct Q & A|
MATH225 Week 3 Assignment / MATH225N Week 3 Quiz: Central Tendency Q & A (Latest, 2021/2022): Chamberlain College of Nursing |100% Correct Q & A| MATH 225... [Show More] Week 3 Assignment / MATH 225N Week 3 Quiz: Central Tendency Q & A (Latest, 2021/2022): Chamberlain College of Nursing |100% Correct Q & A| MATH225 Week 3 Quiz / MATH 225 Week 3 Quiz (Central Tendency Q & A) (Latest): Statistical reasoning for health sciences: Chamberlain College of Nursing MATH225N Week 3 Quiz / MATH 225N Week 3 Quiz (Central Tendency Q & A) (Latest): Statistical reasoning for health sciences: Chamberlain College of Nursing Given the following box-and-whisker plot, decide if the data is skewed or symmetrical. Select the correct answer below: ________________________________________ The data are skewed to the left. The data are skewed to the right. The data are symmetric. Which of the following frequency tables show a skewed data set? Select all answers that apply. ________________________________________ Select all that apply: Select all that apply: ________________________________________ Value Frequency 5 2 6 5 7 9 8 15 9 18 10 24 11 19 12 15 13 10 14 4 Value Frequency 13 2 14 5 15 14 16 13 17 23 18 26 19 15 20 2 Value Frequency 5 1 6 1 7 9 8 20 9 24 10 20 11 9 12 4 13 1 14 1 15 1 Value Frequency 0 4 1 12 2 23 3 28 4 17 5 7 6 6 7 3 Which of the following frequency tables show a skewed data set? Select all answers that apply. ________________________________________ Select all that apply: •Value Frequency 0 2 1 11 2 30 3 22 4 15 5 12 6 6 7 1 8 1 Value Frequency 4 1 5 2 6 3 7 7 8 19 9 17 10 17 11 15 12 12 13 4 14 1 15 2 Value Frequency 13 1 14 6 15 9 16 15 17 27 18 28 19 10 20 4 Value Frequency 3 1 4 0 5 1 6 5 7 9 8 12 9 12 10 18 11 12 12 17 13 11 14 0 15 1 16 0 17 1 Which of the following frequency tables shows a skewed data set? Select all answers that apply. ________________________________________ Select all that apply: ________________________________________ Value Frequency 7 4 8 8 9 12 10 16 11 15 12 13 13 10 14 5 Value Frequency 5 3 6 3 7 8 8 12 9 15 10 19 11 19 12 10 13 4 14 3 15 3 16 1 Value Frequency 12 1 13 2 14 3 15 13 16 10 17 26 18 25 19 15 20 5 Value Frequency 0 9 1 21 2 23 3 18 4 15 5 9 6 3 7 2 For the following dataset, you are interested to determine the "spread" of the data. Would you employ calculations for the sample standard deviation, or population standard deviation for this dataset: Ages of all students in a Statistics course with an enrollment of 30 students. ________________________________________ Select the correct answer below: ________________________________________ Use calculations for sample standard deviation Use calculations for population standard deviation Which of the following lists of data has the smallest standard deviation? ________________________________________ Select the correct answer below: ________________________________________ 11, 17, 9, 4, 4, 6, 6, 9, 8, 18 29, 21, 21, 28, 28, 26, 24, 24, 17, 23 6, 8, 10, 6, 8, 8, 10, 7, 10, 10 23, 19, 12, 19, 17, 18, 16, 10, 12, 21 17, 12, 6, 6, 15, 16, 20, 20, 5, 17 Remember that standard deviation is a measure of how spread out the values are. The list 6, 8, 10, 6, 8, 8, 10, 7, 10, 10 has the smallest standard deviation because its values are all relatively close together. Which of the data sets represented by the following histograms has the smallest standard deviation? A company is interested to know the variation in yearly sales amount for all 5 salespeople in the company. The dataset shown below is the sales amount sold by the 5 salespeople in the company (expressed in thousands of dollars): 40,60,65,70,80 Find the variance for this dataset. ________________________________________ Provide your answer below: ________________________________________ Variance = 176 (population “all’ Variance) The data below are the monthly average high temperatures for November, December, January, and February in New York City from the Country Studies/Area Handbook Series sponsored by the U.S. Department of the Army between 1986 and 1998. What is the sample standard deviation? 54,42,40,40 • Round the final answer to one decimal place. ________________________________________ Provide your answer below: 6.733 ________________________________________ The following data values represent the daily amount spent by a family during a 7 day summer vacation. Find the sample standard deviation of this dataset: $96, $125, $80, $110, $75, $100, $121 • Round the final answer to one decimal place. Answer 19.1 Which of the following lists of data has the smallest standard deviation? ________________________________________ Select the correct answer below: ________________________________________ 30, 21, 19, 17, 16, 32, 26, 25, 19, 16 5, 11, 15, 7, 5, 9, 8, 16, 14, 11 25, 24, 28, 18, 32, 34, 34, 22, 28, 19 17, 19, 17, 18, 17, 16, 16, 16, 17, 20 9, 16, 14, 22, 20, 9, 19, 16, 21, 8 Which of the following lists of data has the smallest standard deviation? ________________________________________ Select the correct answer below: ________________________________________ 13, 12, 12, 13, 11, 12, 12, 14, 13, 11 25, 26, 23, 17, 21, 28, 28, 23, 25, 16 5, 21, 13, 12, 19, 10, 16, 19, 8, 7 17, 16, 9, 10, 14, 6, 8, 16, 16, 2 33, 33, 30, 32, 31, 24, 28, 23, 24, 23 Find the median of the following set of miles per gallon for randomly selected sports cars. 36,22,24,30,44,13,21,34,18 ________________________________________ Provide your answer below:24 (arrange smallest to largest and find middle) Find the mode of the following number of times each machine in a car factory needed to be fixed within the last year. 2,5,6,12,14,12,6,2,5,3,14,5 ________________________________________ Provide your answer below:5 (# that occurs most often in the set) Laura runs at the park after school and wants to know the mean number of miles she runs. The numbers for the miles run each day so far are listed below. 8,9,7,13,3,9,14 Find the mean number of miles she runs daily. ________________________________________ Provide your answer below:9 (average of all numbers) An art collector bought 20 paintings at an art fair, and wants to know the average price of her new paintings. She adds the prices of all the paintings and divides this number by 20 to find an average price of $350 . Is this price a sample mean or a population mean, and which symbol would be used to denote it? ________________________________________ Select the correct answer below: ________________________________________ Population Mean μ Sample Mean x¯¯¯ Given the following list of the number of pens randomly selected students purchased in the last semester, find the median. 13,7,8,37,32,19,17,32,12,26 ________________________________________ Provide your answer below:18(because the list has length 10, which is even, we know the median number will be the average of the middle two numbers, 17 and 19. So the median number of pens randomly selected students purchased in the last semester is 18.) Find the mode of the following amounts of exercise (in hours) randomly selected runners completed during a weekend. 2,14,14,4,2,4,1,14,4,4,8 ________________________________________ Provide your answer below:4 (Note that 4 occurs 4 times, which is the greatest frequency) ________________________________________ Find the mode of the following list of points earned on a 16 point quiz given during a finance class. 7,7,3,2,7,16,12,16,12 ________________________________________ Provide your answer below:7 Find the median of the following set of data. 35,43,18,35,29,27,19,19 Give your answer as a number only. For example, if you found the median was 34, you would enter 34. ________________________________________ Provide your answer below:28 Each person in a group shuffles a deck of cards and keeps selecting a card until an ace appears. Find the mode of the following number of cards drawn from a deck until an ace appears. 14,10,7,14,9,9,10,12,9,7,12 ________________________________________ Provide your answer below:9 A grandfather wants to know the average height of all his grandchildren. He finds that the heights of his 9 grandchildren are given in inches by 63,71,60,59,74,60,60,75,58. What is the population mean of the height of his grandchildren in inches? Round your answer to the nearest tenth of an inch and do not include units. ________________________________________ Provide your answer below: 64.4 Given the following list of the number of pencils randomly selected students used in a school year, find the median. 10,22,6,7,19,5,27 ________________________________________ Provide your answer below:10 A teacher randomly selects 10 out of her 30 students and finds that the mean height of those 10 students is 5′2". Is this a sample mean or a population mean, and which symbol would be used to denote it? ________________________________________ Select the correct answer below: ________________________________________ Population Mean μ Sample Mean x¯¯¯ A data set lists the number of strikes scored per team during a bowling league championship. For this data set, the minimum is 2, the first quartile is 3, the median is 5, the third quartile is 7, and the maximum is 14. Construct a box-and-whisker plot that shows the number of strikes scored. ________________________________________ Provide your answer below: Given the following frequency table of data, what is the potential outlier? Value Frequency 11 1 12 2 13 12 14 6 15 7 16 2 17 0 18 0 19 0 20 0 21 0 22 0 23 1 ________________________________________ Select the correct answer below: ________________________________________ 11 14 12 13 23 (Note that most of the values are between 11 and 16, whereas 23 is far above the rest of the values. Therefore, 23 is the potential outlier.) Given the following frequency table of data, what is the potential outlier? Value Frequency 15 1 16 0 17 3 18 4 19 6 20 10 21 3 22 2 23 1 24 0 25 0 26 0 27 0 28 0 29 0 30 1 ________________________________________ Select the correct answer below: ________________________________________ 30 18 23 19 17 A data set lists the number of extra credit points awarded on midterm scores of 15 students taking a statistics course. For this data set, the minimum is 3, the median is 15, the third quartile is 16, the interquartile range is 4, and the maximum is 19. Construct a box-and-whisker plot that shows the extra credit points awarded. ________________________________________ Provide your answer below:Remember that the interquartile range is the third quartile minus the first quartile. Since we know the third quartile is 16, and the interquartile range is 4, we find that the first quartile must be 16−4=12. Find the Five-Number Summary of a Data Set Question Given the following list of data, what is the five-number summary? 10, 12, 14, 14, 14, 16, 17, 17, 17, 19, 19 ________________________________________ Select the correct answer below: ________________________________________ Min Q1 Median Q3 Max 10 12 15 18 19 Min Q1 Median Q3 Max 10 13 15 17 19 Min Q1 Median Q3 Max 10 15 17 18 19 Min Q1 Median Q3 Max 10 14 16 17 19 Min Q1 Median Q3 Max 10 14 15 18 19 The following frequency table summarizes a set of data. What is the five-number summary? "Value " " Frequency " "9 " " 3 " "10 " " 3 " "11 " " 1 " "13 " " 3 " "14 " " 1 " "15 " " 5 " "16 " " 1 " "17 " " 1 " "18 " " 1 " Select the correct answer below: ________________________________________ Min Q1 Median Q3 Max 9 11 14 16 18 Min Q1 Median Q3 Max 9 10 11 17 18 Min Q1 Median Q3 Max 9 11 15 16 18 Min Q1 Median Q3 Max 9 10 11 15 18 Min Q1 Median Q3 Max 9 10 13 15 18 The following frequency table summarizes a set of data. What is the five-number summary? "Value " " Frequency " "8 " " 2 " "9 " " 1 " "10 " " 2 " "11 " " 3 " "12 " " 4 " "13 " " 1 " "14 " " 1 " "16 " " 1 " Min Q1 Median Q3 Max 8 9 12 13 16 Min Q1 Median Q3 Max 8 10 11 12 16 Min Q1 Median Q3 Max 8 10 11 13 16 Min Q1 Median Q3 Max 8 10 11 15 16 The following frequency table summarizes a set of data. What is the five-number summary? "Value " " Frequency " "5 " " 3 " "6 " " 5 " "7 " " 2 " "8 " " 2 " "9 " " 3 " "12 " " 1 " "14 " " 3 " Min Q1 Median Q3 Max 5 6 7 9 14 Min Q1 Median Q3 Max 5 8 11 12 14 Min Q1 Median Q3 Max 5 7 9 10 14 Min Q1 Median Q3 Max 5 8 9 11 14 Given the following frequency table of data, what is the potential outlier? Value Frequency 7 1 8 0 9 0 10 0 11 0 12 0 13 0 14 2 15 7 16 4 17 5 18 6 19 5 20 1 7 (7 is the correct answer) 14 15 16 19 The five number summary for a set of data is given below. Min Q1 Median Q3 Max 68 70 74 80 88 What is the interquartile range of the set of data? Enter just the number as your answer. For example, if you found that the interquartile range was 25, you would enter 25. ________________________________________ Provide your answer below: 10 (Remember that the interquartile range is the third quartile minus the first quartile. So we find that the interquartile range is 80−70=10) The five number summary for a set of data is given below. Min Q1 Median Q3 Max 76 84 89 98 99 Using the interquartile range, which of the following are outliers? Select all correct answers. ________________________________________ Select all that apply: ________________________________________ • 6 • ________________________________________ • 42 • ________________________________________ • 97 • ________________________________________ • 111 • ________________________________________ • 116 Given the following frequency table of data, what is the potential outlier? Value Frequency 9 1 10 0 11 0 12 0 13 0 14 0 15 0 16 0 17 3 18 6 19 10 20 8 9 21 18 19 20 The five number summary for a set of data is given below. Min Q1 Median Q3 Max 67 68 80 81 86 What is the interquartile range of the set of data? ________________________________________ Select the correct answer below: ________________________________________ 19 13 9 3 23 The five number summary for a set of data is given below. Min Q1 Median Q3 Max 54 56 80 86 87 Using the interquartile range, which of the following are outliers? Select all correct answers. • 1 • ________________________________________ • 43 • ________________________________________ • 86 • ________________________________________ • 92 • ________________________________________ • 108 • Remember that outliers are numbers that are less than 1.5⋅IQR below the first quartile or more than 1.5⋅IQR above the third quartile, where IQR stands for the interquartile range. The interquartile range is the third quartile minus the first quartile. So we find • IQR=86−56=30 • So a value is an outlier if it is less than • Q1−1.5⋅IQR=56−(1.5)(30)=11 • or greater than • Q3+1.5⋅IQR=86+(1.5)(30)=131 • So we see that 1 is an outlier. A data set lists the number of hours each student, from a finance class, studied for a midterm. For this data set, the minimum is 3, the median is 6, the third quartile is 9, the interquartile range is 5, and the maximum is 17. Construct a box-and-whisker plot that shows the number of hours studied. Begin by first placing the middle dot on the median. Then work on placing the rest of the points starting with the ones closest to the median. Remember that the interquartile range is the third quartile minus the first quartile. Since we know the third quartile is 9, and the interquartile range is 5, we find that the first quartile must be 9−5=4. A data set lists the number of hours waiters worked at a restaurant every Friday during the last year. For this data set, the minimum is 1, the median is 5, the third quartile is 8, the interquartile range is 4, and the maximum is 17. Construct a box-and-whisker plot that shows the number of hours worked on a Friday. ________________________________________ Provide your answer below: Remember that the interquartile range is the third quartile minus the first quartile. Since we know the third quartile is 8, and the interquartile range is 4, we find that the first quartile must be 8−4=4. To construct the box-and-whisker plot, remember that the minimum value of the data (1) is at the end of the left whisker, the first quartile (4) is the left edge of the box, the median value (5) is the vertical line in the box, the third quartile (8) is the right edge of the box, and the maximum value (17) is the end of the right whisker. The following dataset represents the favorite color reported by young children at a birthday party: Blue, Green, Red, Blue, Blue, Yellow, Pink, Yellow, Red, Red, Blue, Blue, Blue, Green, Blue. Which of the following would be best to describe a typical value in the dataset? ________________________________________ Select the correct answer below: ________________________________________ the mean the median the mode All of the above can appropriately be used to describe a typical value in the dataset. The following histogram shows the monthly rents reported in a survey of university students. Which of the following would be a reasonable measure of central tendency for this dataset? Select all that apply. Select all that apply: the mean the median the mode none of the above The following dataset represents the dollar amounts of donations collected at the entrance to a free museum during one hour. Donation Amount ($) Frequency 1 1 5 5 10 3 15 1 600 1 Is the median a reasonably good measure of central tendency for this dataset? What if the outlier were removed from consideration? ________________________________________ Select the correct answer below: ________________________________________ The median is a good measure regardless of whether the outlier is included. The median is a very poor measure regardless of whether the outlier is included. The median is a good measure when the outlier is included, but it would be a very poor measure if the outlier were removed from consideration. The median is a very poor measure when the outlier is included, but it would be a good measure if the outlier were removed from consideration. The data value 600 is significantly greater than the other data values in the dataset, so 600 is the outlier. The median is the middle value in the ordered dataset (or, for an odd number of data values, the average of the middle two data values). When the outlier is included, the middle value is the sixth data value in the ordered dataset, which is 5. When the outlier is removed, there are ten data values and the middle two data values are both 5, so the median is 5. In both cases, the number of data values greater than or equal to the median is close to the number of data values less than or equal to the median, so the median is a reasonably good measure of central tendency for the dataset. The following dataset represents the math test scores for a class of 20 students. 90, 60, 85, 100, 100, 90, 100, 75, 100, 95, 95, 85, 30, 100, 40, 15, 100, 90, 70, 80 Identify the best measure of central tendency for this dataset. ________________________________________ Select the correct answer below: ________________________________________ the mode, 100 the mean, 80 the median, 95 the median, 90The mean is 80, but there are 13 data values above the mean compared to 6 data values below the mean, so it is not a good measure of central tendency. The mean is generally not a good measure of central tendency when there are outliers or the dataset is skewed, as is the case here. The following is a dataset of salaries for a company (in thousands). Find the mean and median and determine if the mean or median is the better measure of central tendency. 11,87,85,95,92,93,97 ________________________________________ Select the correct answer below: ________________________________________ Mean =80, Median =92 The mean is the better measure of central tendency. Mean =80, Median =92 The median is the better measure of central tendency. Mean =92, Median =80 The mean is the better measure of central tendency. Mean =92, Median =80 The median is the better measure of central tendency. The following dataset represents the math test scores for a class of 20 students. 90, 85, 95, 100, 100, 90, 100, 65, 100, 85, 80, 95, 80, 100, 85, 75, 100, 90, 90, 75 Would the mode be a good measure of central tendency for this dataset? ________________________________________ Select the correct answer below: ________________________________________ Yes, since this dataset has a well-defined, unique mode. Yes, since this dataset contains no outliers. No, since there are many more data values below the mode than above. No, since there are many more data values above the mode than below. No, since this dataset does not have a well-defined, unique mode. No, since this dataset contains no outliers. No, since there are many more data values below the mode than above. The mode is the data value that appears most often. In this case, the mode is 100. Since 100 appears six times in the dataset and all other values appear fewer than six times. There are 14 data values below the mode and 0 data values above the mode. Since there are many more data values below the mode than above, the mode would not be a good measure of central tendency. The following histogram shows menu prices of entrees at a local restaurant. Identify the best measure of central tendency for this dataset. Select the correct answer below: ________________________________________ the mean the median the mode none of the above The following dataset represents the math test scores for a class of 20 students. 90, 85, 95, 100, 100, 90, 100, 70, 100, 85, 80, 95, 80, 100, 85, 75, 100, 90, 90, 75 How many outliers are in this dataset? ________________________________________ Provide your answer below:0 (An outlier is a data value that is significantly different from other data values in the dataset. The lowest value in the dataset, 70, is not significantly far from the other values (two values in the dataset are 75). The greatest value in the dataset, 100, is not significantly far from the other values (the data value 100 appears six times in the dataset). Since no data value is significantly different from other data values in the dataset, there are no outliers). A trainer would like to find the mean number of sports drinks the people in her class had in the last week. She collects data from 26 participants in her aerobics class. The graph shows the frequency for the number of sports drinks. Find the mean number of sports drinks consumed by the 26 participants, and round your answer to the nearest tenth. Record your answer by dragging the purple point to the mean. The frequency graph shows the frequency for each data value. So, we can compute the mean by adding up all the data values and dividing by the total number of data values. 7⋅1+5⋅2+4⋅3+4⋅4+3⋅5+2⋅6+1⋅7 / 26=3.04 Rounding to the nearest tenth, we have the mean is 3.0. A student at a fashion school would like to find the mean number of hats his fellow students own. He collects data from 25students in his fashion design course. The graph shows the frequency for the number of hats owned by his fellow classmates. Find the mean number of hats owned by the 25 students, and round your answer to the nearest tenth. Record your answer by dragging the purple point to the mean. The frequency graph shows the frequency for each data value. So, we can compute the mean by adding up all the data values and dividing by the total number of data values. 1⋅1+2⋅2+4⋅3+5⋅4+6⋅5+4⋅6+3⋅7 / 25= 4.48 Rounding to the nearest tenth, we have the mean is 4.5. Find the Mean From a Frequency Table Question Given the frequency table below, which equation shows the mean of the set of data? Data Frequency 1 15 3 5 7 10 10 2 ________________________________________ Select the correct answer below: ________________________________________ 120/32=3.75 21/4=5.25 120/21≈5.71 32/4=8 To find the mean from a frequency table, multiply each data value by its frequency. Then add the individual products. 1(15)+3(5)+7(10)+10(2) = 120 Take this sum and divide it by the number of data values, which can be found by adding the numbers in the frequency column. 15+5+10+2 = 32 120 divided by 32 is 3.75. This is the mean of the data from the frequency table. For the grouped frequency table shown below which shows salaries at a company (expressed in thousands), find the midpoint for the second row in the table: Salary Interval Frequency 19-29 12 30-40 15 41-51 9 ________________________________________ Provide your answer below: Midpoint = 35 ________________________________________ Given the frequency table below, what is the estimated mean? Round your answer to two decimal places. Grade Interval Frequency 1‐4 3 5‐8 5 9‐12 2 13‐17 1 ________________________________________ Select the correct answer below: ________________________________________ 5.45 6.91 7.45 19.00 2.5(3)+6.5(5)+10.5(2)+15(1)=76 To find the number of data values, add the frequencies of the data values: 3+5+2+1=11. In order to find the mean, divide 76 by 11 to get 6.91, which is the estimated mean of the data. A manager at a shoe factory would like to find the mean number of breaks taken by employees on a particular Friday. He collects data from 15 fellow coworkers in the factory. The graph shows the frequency for the number of breaks taken during this time period. Find the mean number of breaks for the 15 coworkers, and round your answer to the nearest tenth. Record your answer by dragging the purple point to the mean. The frequency graph shows the frequency for each data value. So, we can compute the mean by adding up all the data values and dividing by the total number of data values. 3⋅1+5⋅2+3⋅3+2⋅4+1⋅5+0⋅6+1⋅7 / 15=2.8 The mean is 2.8. A student would like to find the mean number of people living in households in a neighborhood. She collects data from 65homes in the area. The graph shows the frequency for the number of people living in the homes. Find the mean number of people living in the 65 homes, and round your answer to the nearest tenth. Record your answer by dragging the purple point to the mean. ________________________________________ Provide your answer below: ________________________________________ Mean = 7.4 3 6 7 8 12 14 15 A student would like to find the mean number of people living in households in a neighborhood. She collects data from 65homes in the area. The graph shows the frequency for the number of people living in the homes. Find the mean number of people living in the 65 homes, and round your answer to the nearest tenth. Record your answer by dragging the purple point to the mean. ________________________________________ Provide your answer below: ________________________________________ 1 3 = 3 2 6 = 12 3 7 = 21 4 8 = 32 5 12 = 60 6 14 = 84 7 15 = 105 = 317 / 65 = 4.87 so it’s 4.9 Find the mode of the following amounts (in thousands of dollars) in checking accounts of randomly selected people aged 20-25. 2,4,4,7,2,9,9,2,4,4,11 ________________________________________ Provide your answer below:4 (occurs most often) Find the mode of the following number of states randomly selected travelers at a service plaza visited in the past three years. 18,13,8,8,13,10,13,10,9,18 ________________________________________ Provide your answer below:13 The following is a dataset of the average weekly number of cups of coffee consumed by employees in an office. Find the mean and median and determine if the mean or median is the better measure of central tendency. 5,0,5,2,0,10,7,8,10,21,5,8,2,5,3,5 ________________________________________ Select the correct answer below: ________________________________________ Mean = 5, Median = 6 The median is the better measure of central tendency. Mean = 5, Median = 6 The mean is the better measure of central tendency. Mean = 6, Median = 5 The median is the better measure of central tendency. Mean = 6, Median = 5 The mean is the better measure of central tendency. The following histogram shows the dollar amounts of donations collected by a charitable organization over the course of a month. Identify the best measure of central tendency for this dataset. Select the correct answer below: ________________________________________ the mean the median the mode none of the above The following dataset represents the math test scores for a class of 20 students. 90, 85, 95, 100, 100, 90, 100, 65, 100, 85, 80, 95, 80, 100, 85, 75, 100, 90, 90, 75 Suppose that the last value, 75, was mistakenly recorded as 5. What measure(s) of the typical value in a dataset would be affected by this error? Select all that apply. • The mean would increase. • The mean would decrease. • The median would increase. • The median would decrease. • The mode would increase. • The mode would decrease. • None would be affected. • • [Show Less]
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MATH225 Week 4 Assignment / MATH225N Week 4 Quiz: Central Tendency Q & A (Latest, 2021/2022): Chamberlain College of Nursing |100% Correct Q & A|
MATH225 Week 4 Assignment / MATH225N Week 4 Quiz: Central Tendency Q & A (Latest, 2021/2022): Chamberlain College of Nursing |100% Correct Q & A| MATH 225... [Show More] Week 4 Assignment / MATH 225N Week 4 Quiz: Central Tendency Q & A (Latest, 2021/2022): Chamberlain College of Nursing |100% Correct Q & A| MATH225 Week 4 Quiz / MATH 225 Week 4 Quiz: (Latest): Statistical reasoning for health sciences: Chamberlain College of Nursing MATH225N Week 4 Quiz / MATH 225N Week 4 Quiz: (Latest): Statistical reasoning for health sciences: Chamberlain College of Nursing Question 1 Alice sells boxes of candy at the baseball game and wants to know the mean number of boxes she sells. The numbers for the games so far are listed below. 16,14,14,21,15 Find the mean boxes sold. ________________________________________ Answer: 16 Boxes Question 2 Given the following list of prices (in thousands of dollars) of randomly selected trucks at a car dealership, find the median. 20,46,19,14,42,26,33________________________________________ Answer: median=26 thousands of dollars Question 3 Each person in a group shuffles a deck of cards and keeps selecting a card until a queen appears. Find the mode of the following number of cards drawn from a deck until a queen appears. 3,12,3,11,5,5,3,10,12________________________________________ Answer: mode=3 cards Question 4 The dataset below represents bugs found by a software tester in her product during different phases of testing: 88, 84, 81, 94, 91, 98, 98, 200. The measures of central tendency are given below: Mean: 104.25; Median: 92.5; Mode: 98. Identify the outlier and the measure of central tendency that is affected by the outlier. ________________________________________ The outlier is 98. The mode is affected by the outlier. The outlier is 98. The mean is affected by the outlier. The outlier is 200. The median is affected by the outlier. The outlier is 200. The mean is affected by the outlier. Question 5 Given the following histogram, decide if the data is skewed or symmetrical. A bar graph has a horizontal axis titled Values labeled from 2 to 18 in increments of 2 and a vertical axis titled Frequency labeled from 0 to 200 in increments of 50. 14 bars are plotted, above the numbers 2 to 16. From left to right, the heights of the bars are as follows: 1. 5. 10. 40, 75, 125, 190, 180, 130, 125, 60, 25,20, 10. All values are approximate. ________________________________________ That is correct! ________________________________________ The data are skewed to the left. The data are skewed to the right. The data are symmetric. Question 6 The following data set represents the ages of all seven grandchildren in a family. 4, 5, 11, 12, 11, 8, 5 If the variance of the ages is 9.7, what is the standard deviation? • Round the final answer to one decimal place. ________________________________________ That is correct! ________________________________________ Answer: Std 3.1 Question 7 Which of the data sets represented by the following box and whisker plots has the smallest standard deviation? Four horizontal box-and-whisker plots share a vertical axis with the classes D, C, B, and A and a horizontal axis from 0 to 120 in increments of 20. The box-and-whisker plot above the class label A has the following five-number summary: 44, 69, 77, 82, and 112. The box-and-whisker plot above the class label B has the following five-number summary: 19, 64, 78, 87, and 121. The box-and-whisker plot above the class label C has the following five-number summary: 60, 72, 75, 80, and 92. The box-and-whisker plot above the class label D has the following five-number summary: 2, 63, 77, 92, and 138. All values are approximate. ________________________________________ That is correct! ________________________________________ A B C D Question 8 The box-and-whisker plot shows the number of books read by history students during the last school year. A box and whisker plot with minimum 4, first quartile 6, median 8, third quartile 10, and maximum 15 What is the range of the data? That is correct! Answer: 11 Question 9 A random sample of house sizes in major city has a sample mean of x¯=1204.9 sq ft and sample standard deviation of s=124.6 sq ft. Use the Empirical Rule to determine the approximate percentage of house sizes that lie between 955.7and 1454.1 sq ft. Round your answer to the nearest whole number (percent). ________________________________________ That is correct! ________________________________________ Answer: 95% Question 10 Is the statement below true or false? Independent is the property of two events in which the knowledge that one of the events occurred does not affect the chance the other occurs. ________________________________________ That is correct! ________________________________________ True False Question 11 Brayden tosses a coin 500 times. Of those 500 times, he observes heads a total of 416 times. Calculations show that the probability of this occurring by chance is less than 0.01, assuming the coin is fair. Determine the meaning of the significance level. ________________________________________ That is correct! ________________________________________ We expect that 416 of every 500 coin tosses will result in heads. At the 0.01 level of significance, the coin is likely not a fair coin. There is certainty that the coin is not a fair coin. The results are not statistically significant at the 0.05 level of significance. Question 12 A spinner contains the numbers 1 through 80. What is the probability that the spinner will land on a number that is not a multiple of 11? • Give your answer in fraction form. ________________________________________ That is correct! ________________________________________ Answer: 73/80 Question 13 Of the following pairs of events, which pair has mutually exclusive events? ________________________________________ That is correct! ________________________________________ rolling a sum greater than 7 from two rolls of a standard die and rolling a 4 for the first throw drawing a 2 and drawing a 4 with replacement from a standard deck of cards rolling a sum of 9 from two rolls of a standard die and rolling a 2 for the first roll drawing a red card and then drawing a black card with replacement from a standard deck of cards Question 14 Fill in the following contingency table and find the number of students who both go to the beach AND go to the mountains. Students Gotothemountains donotgotothemountains Total Gotothebeach 36 Donotgotothebeach 21 Total 48 95 ________________________________________ That is correct! ________________________________________ Answer: 10 Question 15 A group of 140 students at an elementary school were asked if they prefer the color orange to the color green. The results are shown in the table below. Given that a randomly selected survey participant is a male, what is the probability that this student prefers the color green? • Enter your answer as a fraction. Male Female Total Orange 12 50 62 Green 2 73 78 Total 17 123 140 That is correct! Answer: 5/17 Question 16 Researchers want to study whether or not a fear of flying is related to a fear of heights. They surveyed a large group of people and asked them whether or not they had a fear of flying and whether or not they had a fear of heights. The data are shown in the contingency table below. What is the relative risk of being afraid of heights for those who are afraid of flying? Round your answer to two decimal places. Afraid of heights Not afraid of heights Total Afraid of flying 76 33 109 Not afraid of flying 82 370 452 Total 158 403 561 That is correct! Answer: 3.84 Question 17 Which of the following frequency tables show a skewed data set? Select all answers that apply. That is correct! Value Frequency 5 1 6 2 7 10 8 11 9 17 10 17 11 15 12 12 13 7 14 7 15 0 16 1 Value Frequency 5 1 6 3 7 8 8 10 9 13 10 26 11 14 12 12 13 8 14 3 15 1 16 1 Value Frequency 12 1 13 1 14 3 15 6 16 23 17 29 18 19 19 15 20 3 Value Frequenc 0 5 1 16 2 23 3 19 4 22 5 9 6 4 7 2 Question 18 A student wants to know his average homework grade for the first half of his math class. There were 7 homeworks in the first half of the class, and his grades out of 100 are given by 100,90,95,89,92,85,95. What is the population mean of his homework grades? Round your answer to the nearest tenth. ________________________________________ That is correct! ________________________________________ Answer: 92.3 Question 19 The following data set represents the ages of all six grandchildren in a family. Find the variance for this data set of ages: 6, 3, 14, 11, 14, 6 • Round the final answer to one decimal place. ________________________________________ That is correct! Answer: Variance = 18 Question 20 A poll was conducted during the final game of the basketball season to determine whether fans wanted to see the defending champions win the game or the challenging team win the game. From the poll, 216 of the 374 residents sampled from urban areas want the defending champions to win the game. In more rural areas, 304 of the 466 residents polled want the defending champions to win the game. Assuming location has nothing to do with team preference, the probability that the data gathered was the result of chance is calculated to be 0.03. What is the correct interpretation of this calculation? ________________________________________ That is correct! ________________________________________ More people from rural areas want the defending champions to win the game. Exactly 216 out of every 374 urban residents want the defending champions to win the game. The results are statistically significant at the 0.05 level of significance in showing that the proportion of people in rural areas who want the defending champions to win the game is different than the proportion of people in urban areas. The data is not statistically significant at the 0.05 level of significance in showing that the proportion of people in rural areas who want the defending champions to win the game is different than the proportion of people in urban areas. Question 21 Find the mode of the following amounts (in thousands of dollars) in savings accounts of randomly selected people aged 25-30. 8,6,8,7,2,2,2,4,4,4,4,7 ________________________________________ That is correct! ________________________________________ Answer: Mode = 4 thousands of dollars Question 22 A deck of cards contains red cards numbered 1,2,3,4,5, blue cards numbered 1,2,3,4,5,6,7,8 and green cards numbered 1,2,3,4,5,6,7,8,9,10. If a single card is picked at random, what is the probability that the card is green? • Give your answer as a fraction. • ________________________________________ • That is correct! • ________________________________________ • Answer: 10/23 Question 23 The five-number summary for a set of data is given below. Min Q1 Median Q3 Max 60 65 70 75 87 What is the interquartile range of the set of data? ________________________________________ That is correct! ________________________________________ Answer: Interquartile range is 10 Question 24 The five-number summary for a set of data is given below. Min Q1 Median Q3 Max 43 47 53 62 72 What is the interquartile range of the set of data? ________________________________________ That is correct! ________________________________________ Answer: Interquartile range is 15 Question 25 The following frequency table summarizes a set of data. What is the five-number summary? Value Frequency 3 3 5 2 10 1 13 1 14 3 15 3 16 1 20 1 ________________________________________ That is correct! ________________________________________ Min Q1 Median Q3 Max 3 5 9 15 20 Min Q1 Median Q3 Max 3 10 11 17 20 Min Q1 Median Q3 Max 3 5 14 15 20 Min Q1 Median Q3 Max 3 6 18 17 20 Min Q1 Median Q3 Max 3 6 7 14 20 [Show Less]
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MATH225 Week 5 Assignment / MATH225N Week 5 Assignment: Central Limit Theorem for Means (Latest, 2021/2022): Chamberlain College of Nursing |100% Correct Q & A|
MATH225 Week 5 Assignment / MATH225N Week 5 Assignment: Central Limit Theorem for Means (Latest, 2021/2022): Chamberlain College of Nursing |100% Correct Q... [Show More] & A| MATH 225 Week 5 Assignment / MATH 225N Week 5 Assignment: Central Limit Theorem for Means (Latest, 2021/2022): Chamberlain College of Nursing |100% Correct Q & A| MATH 225 Week 5 Assignment: Central Limit Theorem for Means (Latest): Statistical reasoning for health sciences: Chamberlain College of Nursing MATH225N Week 5 Assignment: Central Limit Theorem for Means (Latest): Statistical reasoning for health sciences: Chamberlain College of Nursing Question A family of statisticians is trying to decide if they can afford for their child to play youth baseball. The cost of joining a team is normally distributed with a mean of $750and a standard deviation of $185. If a sample of 40teams is selected at random from the population, select the expected mean and standard deviation of the sampling distribution below. Question A cupcake baker is planning a supplies order and needs to know how much flour he needs. He knows that his recipes use an average of 100grams of flour, normally distributed, with a population standard deviation of 15grams. If he is consulting a sample size of 30recipes, select the mean and standard deviation of the sampling distribution to help him order his supplies from the options below. Question A head librarian for a large city is looking at the overdue fees per user system-wide to determine if the library should extend its lending period. The average library user has $19.67in fees, with a standard deviation of $7.02. The data is normally distributed and a sample of 72library users is selected at random from the population. Select the expected mean and standard deviation of the sampling distribution from the options below. Question A well known social media company is looking to expand their online presence by creating another platform. They know that they current average 2,500,000users each day, with a standard deviation of 625,000users. If they randomly sample 50days to analyze the use of their existing technology, identify each of the following, rounding to the nearest whole number if necessary: Question A bank is reviewing its risk management policies with regards to mortgages. To minimize the risk of lending, the bank wants to compare the typical mortgage owed by their clients against other homebuyers. The average mortgage owed by Americans is $306,500, with a standard deviation of $24,500. Suppose a random sample of 150Americans is selected. Question The average time it takes a certain brand of ibuprofen to start working is 25minutes, with a standard deviation of 13minutes, distributed normally. A pharmacist randomly samples 20pills from this brand, because she is researching different brands in order to find the quickest acting ibuprofen to recommend to her customers. Identify the following to help her make her recommendations, rounding to the nearest hundredth if necessary: Question Major league baseball recruiters are analyzing college players as potential draft choices. In a survey of college baseball players, the recruiters found that they hit an average of 13home runs per season, with a standard deviation of 5. Suppose a random sample of 45baseball players is selected. Identify each of the following and remember to round to the nearest whole number: Question The average credit card debt owed by Americans is $6375, with a standard deviation of $1200. Suppose a random sample of 36Americans is selected. Identify each of the following: Question The heights of all basketball players are normally distributed with a mean of 72inches and a population standard deviation of 1.5inches. If a sample of 15players are selected at random from the population, select the expected mean of the sampling distribution and the standard deviation of the sampling distribution below. Question The owners of a baseball team are building a new baseball field for their team and must determine the number of seats to include. The average game is attended by 6,500fans, with a standard deviation of 450people. Suppose a random sample of 10games is selected to help the owners decide the number of seats to include. Identify each of the following and be sure to round to the nearest whole number: Question The Washington Wheat Farmers Club is studying the impact of rising grain prices on their members' planting habits. The club members produce an average of 150million bushels of wheat per year, with a standard deviation of 18million bushels. The club takes a random sample of 35years to create a statistical study. Identify each of the following, rounding to the nearest hundredth when necessary: Question Given the plot of normal distributions A and B below, which of the following statements is true? Select all correct answers. A curve labeled A rises to a maximum near the left of the horizontal axis and the falls. Another curve labeled B rises to a maximum to the right of and below curve A and falls. Question The graph below shows the graphs of several normal distributions, labeled A, B, and C, on the same axis. Determine which normal distribution has the largest standard deviation. A figure consists of three curves along a horizontal axis, labeled Upper A, Upper B and Upper C. Curve Upper A is farthest to the right, curve Upper B is tall and skinny, and curve Upper C is farthest to the left. Question Given the plot of normal distributions A and B below, which of the following statements is true? Select all correct answers. A figure consists of two curves labeled Upper A and Upper B. The curve Upper A is tall and evenly spread out from the center and the curve Upper is B is shorter and more spread out than A. 13. Which of the following lists of data has the smallest standard deviation? 12, 12, 8, 12, 11, 12, 12, 9, 11, 12 14.Which of the following lists of data has the smallest standard deviation? 17, 19, 17, 18, 17, 16, 16, 16, 17, 20 15.Question Given the plot of normal distributions A and B below, which of the following statements is true? Select all correct answers. A figure consists of two curves labeled Upper A and Upper B. Curve Upper A is shorter and more spread out than curve Upper B, and the curve Upper B is taller and farther to the right than curve Upper A. Question The graph below shows the graphs of several normal distributions, labeled A, B, and C, on the same axis. Determine which normal distribution has the smallest standard deviation. A figure consists of three curves along a horizontal axis, labeled Upper A, Upper B and Upper C. Curve Upper A is evenly spread out, curve Upper B is tall and the least spread out, and curve Upper C is short and more evenly spread out from the center. Question The graph below shows the graphs of several normal distributions, labeled A, B, and C, on the same axis. Determine which normal distribution has the smallest standard deviation. A figure consists of three curves along a horizontal axis, labeled Upper A, Upper B and Upper C. Curve Upper A is farthest to the left from the center, curve Upper B is evenly spread out to the right from the center, and curve Upper C is tall and the least spread out. Question The graph below shows the graphs of several normal distributions, labeled A, B, and C, on the same axis. Determine which normal distribution has the smallest mean. A curve labeled B rises to a maximum and then falls. A curve labeled A rises to a maximum below and to the right of A and then falls. A curve labeled C rises to a maximum to the right of and below the maximum of A. B Question The graph below shows the graphs of several normal distributions, labeled A, B, and C, on the same axis. Determine which normal distribution has the smallest mean. A figure consists of three curves along a horizontal axis, labeled Upper A, Upper B and Upper C. Curve Upper A is farthest to the left, curve Upper B is farthest to the right, and curve Upper C is tall and skinny. Question A businesswoman wants to open a coffee stand across the street from a competing coffee company. She notices that the competing company has an average of 170customers each day, with a standard deviation of 45customers. Suppose she takes a random sample of 31days. Identify the following to help her decide whether to open her coffee stand, rounding to the nearest whole number when necessary: 1. An organization has members who possess IQs in the top 4% of the population. If IQs are normally distributed, with a mean of 100 and a standard deviation of 15, what is the minimum IQ required for admission into the organization? 2. The top 5% of applicants on a test will receive a scholarship. If the test scores are normally distributed with a mean of 600 and a standard distribution of 85, how low can an applicant score to still qualify for a scholarship? 3. The weights of oranges are normally distributed with a mean of 12.4 pounds and a standard deviation of 3 pounds. Find the minimum value that would be included in the top 5% of orange weights. 4. Two thousand students took an exam. The scores on the exam have an approximate normal distribution with a mean of μ=81 points and a standard deviation of σ=4 points. The middle 50% of the exam scores are between what two values? 5. The number of walnuts in a mass-produced bag is modeled by a normal distribution with a mean of 44 and a standard deviation of 5. Find the number of walnuts in a bag that has more walnuts than 80% of the other bags. 6. A firm’s marketing manager believes that total sales for next year will follow the normal distribution, with a mean of $3.2 million and a standard deviation of $250,000. Determine the sales level that has only a 3% chance of being exceeded next year. 7. Suppose that the weight of navel oranges is normally distributed with a mean of μ=6 ounces and a standard deviation of σ=0.8 ounces. Find the weight below that one can find the lightest 90% of all navel oranges. 8. A tire company finds the lifespan for one brand of its tires is normally distributed with a mean of 47,500 miles and a standard deviation of 3,000 miles. What mileage would correspond to the the highest 3% of the tires? 1. The average credit card debt owed by Americans is $6375, with a standard deviation of $1200. Suppose a random sample of 36 Americans is selected. Identify each of the following: 2. The heights of all basketball players are normally distributed with a mean of 72 inches and a population standard deviation of 1.5 inches. If a sample of 15 players are selected at random from the population, select the expected mean of the sampling distribution and the standard deviation of the sampling distribution below. 1. After collecting the data, Peter finds that the standardized test scores of the students in a school are normally distributed with mean 85 points and standard deviation 3 points. Use the Empirical Rule to find the probability that a randomly selected student's score is greater than 76 points. Provide the final answer as a percent rounded to two decimal places. 2. After collecting the data, Christopher finds that the total snowfall per year in Reamstown is normally distributed with mean 94 inches and standard deviation 14 inches. Which of the following gives the probability that in a randomly selected year, the snowfall was greater than 52 inches? Use the empirical rule 3. The College Board conducted research studies to estimate the mean SAT score in 2016 and its standard deviation. The estimated mean was 1020 points out of 1600 possible points, and the estimated standard deviation was 192 points. Assume SAT scores follow a normal distribution. Using the Empirical Rule, about 95% of the scores lie between which two values? 4. After collecting the data, Kenneth finds that the body weights of the forty students in a class are normally distributed with mean 140 pounds and standard deviation 9 pounds. Use the Empirical Rule to find the probability that a randomly selected student has a body weight of greater than 113 pounds. Provide the final answer as a percent rounded to two decimal places. 5. Mrs. Miller's science test scores are normally distributed with a mean score of 77 (μ) and a standard deviation of 3 (σ). Using the Empirical Rule, about 68% of the scores lie between which two values? 6. Brenda has collected data to find that the finishing times for cyclists in a race has a normal distribution. What is the probability that a randomly selected race participant had a finishing time of greater than 154 minutes if the mean is 143 minutes and the standard deviation is 11 minutes? Use the empirical rule. 7. Suppose X∼N(20,2), and x=26. Find and interpret the z-score of the standardized normal random variable. 8. Isabella averages 17 points per basketball game with a standard deviation of 4 points. Suppose Isabella's points per basketball game are normally distributed. Let X= the number of points per basketball game. Then X∼N(17,4). 9. Suppose X∼N(6.5,1.5), and x=3.5. Find and interpret the z-score of the standardized normal random variable. 10. Suppose X∼N(5.5,2), and x=7.5. Find and interpret the z-score of the standardized normal random variable. 11. Jerome averages 16 points a game with a standard deviation of 4 points. Suppose Jerome's points per game are normally distributed. Let X = the number of points per game. Then X∼N(16,4). 12. Josslyn was told that her score on an aptitude test was 3 standard deviations above the mean. If test scores were approximately normal with μ=79 and σ=9, what was Josslyn's score? Do not include units in your answer. For example, if you found that the score was 79 points, you would enter 79. 13. Marc's points per game of bowling are normally distributed with a standard deviation of 13 points. If Marc scores 231 points, and the z-score of this value is 4, then what is his mean points in a game? Do not include the units in your answer. For example, if you found that the mean is 150 points, you would enter 150. 14. Floretta's points per basketball game are normally distributed with a standard deviation of 4 points. If Floretta scores 10 points, and the z-score of this value is −4, then what is her mean points in a game? Do not include the units in your answer. For example, if you found that the mean is 33 points, you would enter 33. 15. Jamie was told that her score on an aptitude test was 3 standard deviations below the mean. If test scores were approximately normal with μ=94 and σ=6, what was Jamie's score? Do not include units in your answer. For example, if you found that the score was 94 points, you would enter 94. 16. A normal distribution is observed from the number of points per game for a certain basketball player. If the mean is 16 points and the standard deviation is 2 points, what is the probability that in a randomly selected game, the player scored between 12 and 20 points? Use the empirical rule 17. A random sample of vehicle mileage expectancies has a sample mean of x¯=169,200 miles and sample standard deviation of s=19,400 miles. Use the Empirical Rule to estimate the percentage of vehicle mileage expectancies that are more than 188,600 miles. 18. A random sample of lobster tail lengths has a sample mean of x¯=4.7 inches and sample standard deviation of s=0.4 inches. Use the Empirical Rule to determine the approximate percentage of lobster tail lengths that lie between 4.3 and 5.1 inches. 19.A random sample of SAT scores has a sample mean of x¯=1060 and sample standard deviation of s=195. Use the Empirical Rule to estimate the approximate percentage of SAT scores that are less than 865. 20. The number of pages per book on a bookshelf is normally distributed with mean 248 pages and standard deviation 21 pages. Using the empirical rule, what is the probability that a randomly selected book has less than 206 pages? 21. Mr. Karly's math test scores are normally distributed with a mean score of 87 (μ) and a standard deviation of 4 (σ). Using the Empirical Rule, about 99.7% of the data values lie between which two values? 22. In 2014, the CDC estimated that the mean height for adult women in the U.S. was 64 inches with a standard deviation of 4 inches. Suppose X, height in inches of adult women, follows a normal distribution. Which of the following gives the probability that a randomly selected woman has a height of greater than 68 inches? 23. A normal distribution is observed from the number of points per game for a certain basketball player. The mean for this distribution is 20 points and the standard deviation is 3 points. Use the empirical rule for normal distributions to estimate the probability that in a randomly selected game the player scored less than 26 points. Provide the final answer as a percent rounded to one decimal place. 24. A normal distribution is observed from the number of points per game for a certain basketball player. If the mean is 15 points and the standard deviation is 3 points, what is the probability that in a randomly selected game, the player scored greater than 24 points? Use the empirical rule 25.The College Board conducted research studies to estimate the mean SAT score in 2016 and its standard deviation. The estimated mean was 1020 points out of 1600 possible points, and the estimated standard deviation was 192 points. Assume SAT scores follow a normal distribution. Using the Empirical Rule, about 95% of the scores lie between which two values? 26. The typing speeds for the students in a typing class is normally distributed with mean 44 words per minute and standard deviation 6 words per minute. What is the probability that a randomly selected student has a typing speed of less than 38 words per minute? Use the empirical rule 27. Nick has collected data to find that the body weights of the forty students in a class has a normal distribution. What is the probability that a randomly selected student has a body weight of greater than 169 pounds if the mean is 142 pounds and the standard deviation is 9 pounds? Use the empirical rule. 28. The times to complete an obstacle course is normally distributed with mean 73 seconds and standard deviation 9 seconds. What is the probability using the Empirical Rule that a randomly selected finishing time is less than 100 seconds? 29. After collecting the data, Douglas finds that the finishing times for cyclists in a race is normally distributed with mean 149 minutes and standard deviation 16 minutes. What is the probability that a randomly selected race participant had a finishing time of less than 165 minutes? Use the empirical rule 30. Charles has collected data to find that the total snowfall per year in Reamstown has a normal distribution. Using the Empirical Rule, what is the probability that in a randomly selected year, the snowfall was less than 87 inches if the mean is 72 inches and the standard deviation is 15 inches? 31. Christopher has collected data to find that the total snowfall per year in Laytonville has a normal distribution. What is the probability that in a randomly selected year, the snowfall was greater than 53 inches if the mean is 92 inches and the standard deviation is 13 inches? Use the empirical rule 32. The times to complete an obstacle course is normally distributed with mean 87 seconds and standard deviation 7 seconds. What is the probability that a randomly selected finishing time is greater than 80 seconds? Use the empirical rule [Show Less]
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MATH225 Week 5 Lab Assignment / MATH225N Week 5 Lab Assignment (Latest, 2021/2022): Chamberlain College of Nursing |100% Correct Q & A|
MATH225 Week 5 Lab Assignment / MATH225N Week 5 Lab Assignment (Latest, 2021/2022): Chamberlain College of Nursing |100% Correct Q & A| MATH 225 Week 5 La... [Show More] b Assignment / MATH 225N Week 5 Lab Assignment (Latest, 2021/2022): Chamberlain College of Nursing |100% Correct Q & A| MATH 225 Week 5 Lab Assignment / MATH225N Week 5 Lab Assignment: (Latest): Statistical reasoning for health sciences: Chamberlain College of Nursing MATH 225N Week 5 Lab Assignment / MATH225 Week 5 Lab Assignment: (Latest): Statistical reasoning for health sciences: Chamberlain College of Nursing [Show Less]
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MATH225 Week 6 Assignment / MATH225N Week 6 Assignment: Confidence Interval (Latest, 2021/2022): Chamberlain College of Nursing |100% Correct Q & A|
MATH225 Week 6 Assignment / MATH225N Week 6 Assignment: Confidence Interval (Latest, 2021/2022): Chamberlain College of Nursing |100% Correct Q & A| MATH ... [Show More] 225 Week 6 Assignment / MATH 225N Week 6 Assignment: Confidence Interval (Latest, 2021/2022): Chamberlain College of Nursing |100% Correct Q & A| MATH225 Week 6 Assignment / MATH 225N Week 6 Assignment: Confidence Interval (Latest): Statistical reasoning for health sciences: Chamberlain College of Nursing MATH225N Week 6 Assignment / MATH 225 Week 6 Assignment: Confidence Interval (Latest): Statistical reasoning for health sciences: Chamberlain College of Nursing 1. On a busy Sunday morning, a waitress randomly sampled customers about their preference for morning beverages, Specifically, she wanted to find out how many people preferred coffee over tea. The proportion of customers that preferred coffee was 0.42 with a margin of error 0.07. Construct a confidence interval for the proportion of customers that preferred coffee. (0.42 - 0.07), (0.42 + 0.07)= (0.35), (0.49) 2. A company sells juice in 1quart bottles. In a quality control test, the company found the mean volume of juice in a random sample of bottles was X = 31 ounces, with a marginal error of 3 ounces. Construct a confidence interval for the mean number of ounces of juice bottled by this company. (31-3), 31+3) = (28), (34) 3. Randomly selected employees at an office were asked to take part in a survey about overtime. The office manager wanted to find out how many employees worked overtime in the last week. The proportion of employees that worked overtime was 0.83, with a margin of error of 0.11. (0.83 – 0.11), (0.83 + 0.11) = (0.72), (0.94) 4. A random sample or garter snakes were measured, and the proportion of snakes that were longer than 20 inches in length recorded. The measurements resulted in a sample proportion of p = 0.25 with a sampling standard deviation of Op = 0.05. Write a 68% confidence interval for the true proportion of garter snakes that were over 20 inches in length. (.25 - .05). (.25 + .05) = (0.20), (.30) 5. The average number of onions needed to make French onion soup from the population of recipes is unknown. A random sample of recipes yields a sample mean of x = 8.2 onions. Assume the sampling distribution of the mean has a standard deviation of 2.3 onions. Use the Empirical Rule to construct a 95% confidence interval for the true population mean number of onions. Since 95% falls in 2 SD’s the calculation would be (8.2 – 4.6) “4.6 is the margin of error”, (8.2+ 4.6) = (3.6) , (12.8) 6. In a survey, a random sample of adults were asked whether a tomato is a fruit or vegetable. The survey resulted in a sample proportion of 0.58 with a sampling standard deviation of 0.08 who stated a tomato is a fruit. Write a 99.7 confidence interval for the true proportion of number of adults who stated the tomato is a fruit. (0.58 – 3 x 0.08), (0.58 + 3 x 0.08) =(0.58 – .24), (0.58 + .24) = 0.34 + 0.82 7. A college admissions director wishes to estimate the mean number of students currently enrolled. The age of random sample of 23 students is given below. Assume the ages are approximately normally distributed. Use Excel to construct a 90% confidence interval for the population mean age. Round your answer to 2 decimal places and use increasing order. Use week 6 worksheet to get mean and SD. Data 25.8 Mean 23.1043 22.2 Sample Standard Deviation 1.3693 22.5 22.8 24.6 24 22.6 23.6 22.8 23.1 21.5 21.4 22.5 24.5 21.5 22.5 20.5 23 25.1 25.2 23.8 21.8 24.1 Confidence Level 0.900 n 32 Mean 23.1043 StDev 1.3693 pop stdev no SE 0.242060 t 1.696 Margin of Error 0.410534 Lower Limit 22.693766 Upper Limit 23.514834 Lower margin of error = 22.69 and upper limit is 23.51 8. Suppose that the scores of bowlers in a particular league follow a normal distribution such that a standard deviation of the population is 12. Find the 95% confidence interval of the mean score for all bowlers in this league using the accompanying data set of 40 random scores. Round your answers to 2 decimal places using ascending order. Lower Limit = 90.78 Upper Limit = 98.22 Confidence Level 0.950 n 40 Mean 94.5000 StDev 12.0000 pop stdev yes SE 1.897367 z 1.960 Margin of Error 3.718839 Lower Limit 90.781161 Upper Limit 98.218839 9. In the survey of 603 adults, 98 said that they regularly lie to people conducting surveys. Create a 99% confidence interval for the proportion of adults who regularly lie to people conducting surveys. Use excel to create the confidence interval rounding to 4 decimal places. Lower Limit = 0.1238 Upper Limit = 0.2012 Confidence Level 0.990 n 603 Number of Successes 98 Sample Proportion 0.162521 SE 0.015024 z 2.576 Margin of Error 0.038702 Lower Limit 0.123819 Upper Limit 0.201222 10. In a random sampling of 350 attendees at a minor league baseball game, 184 said that they bought food from the concession stand. Create a 95%confidence interval for the proportion of fans who bought food from the concession stand. Use excel to create the confidence interval rounding to 4 decimal places. Lower limit = 0.4734 Upper Limit = 0.5780 Confidence Level 0.950 n 350 Number of Successes 184 Sample Proportion 0.525714 SE 0.026691 z 1.960 Margin of Error 0.052314 Lower Limit 0.473400 Upper Limit 0.578028 11. Suppose that the weight of tight ends in a football league are normally distributed such that sigma squared = 1,369. A sample of 49 tight ends was randomly selected and the weights are given in the table below. Use Excel to create a 95% confidence interval for the mean weight of the tight ends in this league. Rounding your answers to 2 decimal places and using ascending order. (Have to get square root of 1369 which is 37). Population sample is yes . Lower limit = 241.42 Upper Limit = 262.14 Confidence Level 0.950 n 49 Mean 251.7755 StDev 37.0000 pop stdev yes SE 5.285714 z 1.960 Margin of Error 10.360000 Lower Limit 241.415500 Upper Limit 262.135500 12. Suppose heights, in inches of orangutans are normally distributed and have a known population standard deviation of 4 inches. A random sample of 16 orangutans is taken and gives a sample mean of 56 inches. Find the confidence interval of the population mean with a 95% confidence level. Lower limit = 54.04 and Upper Limit = 57.96 13. The population standard deviation for the total snowfalls per year in a city is 13 inches. If we want to be 95% confident that the sample mean is within 3 inches of the true population mean, what is the minimum sample size that should be taken? Answer: 73 snowfalls Minimum Sample Size μ for population mean Confidence Level 0.950 StDev 13 Error 3 z-Value 1.960 Minimum Sample Size 73 14. The population standard deviation for the body weights for employees of a company is 10 pounds. If we want to be 95% confident that the sample mean is within 3 pounds of the true population mean, what is the minimum sample size that should be taken. Answer: 43 employees Minimum Sample Size μ for population mean Confidence Level 0.950 StDev 10 Error 3 z-Value 1.960 Minimum Sample Size 43 15. The length, in words, of the essays written for a contest are normally distributed with a population standard deviation of 442 words and an unknown population mean. If random sample of 24 essays is taken and results in a sample mean of 1330 words, find a 99% confidence interval for the population mean. Round to two decimal places. Answer: Lower limit = 1097.59 upper Limit = 1562.41 16. Brenda wants to estimate the percentage of people who eat fast food at least once per week. She wants to create a 95% Confidence interval which has an error bound of at most 2%. How many people should be polled to create the confidence interval? Answer: 2401 Minimum Sample Size p for Proportion Confidence Level 0.950 Enter decimal Sample Proportion 0.5 If sample proportion unknown enter 0.5 Error 0.02 Write percentage as decimal z-Value 1.960 Minimum Sample Size 2401 17. Suppose a clothing store wants to determine the current percentage of customers who are over the age of forty. How many customers should the company survey in order to be 92% confident that the estimated (sample) proportion is within 5% of the true population proportion of customers who are over the age of 40? Answer: 307 Minimum Sample Size p for Proportion Confidence Level 0.920 Enter decimal Sample Proportion 0.5 If sample proportion unknown enter 0.5 Error 0.05 Write percentage as decimal z-Value 1.751 Minimum Sample Size 307 18. Suppose the scores of a standardized test are normally distributed. If the population standard deviation is 2 points, what minimum sample size is needed to be 90% confident that the sample mean is within 1 point of the true population mean? Be sure to round up to the nearest integer. ________________________________________ Provide your answer below: 11 Minimum Sample Size μ for population mean Confidence Level 0.900 StDev 2 Error 1 z-Value 1.645 Minimum Sample Size 11 19. The number of square feet per house are normally distributed with a population standard deviation of 197 square feet and an unknown population mean. If a random sample of 25 houses is taken and results in a sample mean of 1820 square feet, find a 99% confidence interval for the population mean. Round to 2 decimal places. Answer: 1718.51 – 1921.49 t or z Confidence Interval for µ Confidence Level 0.990 n 25 Mean 1,820.0000 StDev 197.0000 pop stdev yes SE 39.400000 z 2.576 Margin of Error 101.494400 Lower Limit 1718.505600 Upper Limit 1921.494400 20. Suppose scores of a standardized test are normally distributed and have a known population standard deviation of 6 points and an unknown population mean. A random sample of 22 scores is taken and gives a sample mean of 92 points. Identify the parameters needed to calculate a confidence interval at the 98% confidence level. Then find the confidence interval. x = 92 σ = 6 n = 22 zα2= 2.326 (89.02, 94.98) t or z Confidence Interval for µ Confidence Level 0.980 n 22 Mean 92.0000 StDev 6.0000 pop stdev yes SE 1.279204 z 2.326 Margin of Error 2.975429 Lower Limit 89.024571 Upper Limit 94.975429 21. Suppose scores of a standardized test are normally distributed and have a known population standard deviation of 6 points and an unknown population mean. A random sample of 22 scores is taken and gives a sample mean of 92 points. What is the correct interpretation of the 95% confidence interval? We can estimate that 98% of the time the test is taken, a student scores between 89.02 and 94.98 points. We can estimate with 98% confidence that the true population mean score is between 89.02 and 94.98 points. We can estimate with 98% confidence that the sample mean score is between 89.02 and 94.98 points 22. The weights of running shoes are normally distributed with a population standard deviation of 3 ounces and an unknown population mean. If a random sample of 23 running shoes is taken and results in a sample mean of 18 ounces, find a 90%confidence interval for the population mean. Round the final answer to two decimal places. Answer: 16.97 – 19.03 23. The germination periods, in days, for grass seed are normally distributed with a population standard deviation of 5 days and an unknown population mean. If a random sample of 17 types of grass seed is taken and results in a sample mean of 52days, find a 80% confidence interval for the population mean. Select the correct answer below: (50.45,53.55) (50.01,53.99) (49.85,54.15) (49.62,54.38) (49.18,54.82) (48.88,55.12) 24. The speeds of vehicles traveling on a highway are normally distributed with a population standard deviation of 7 miles per hour and an unknown population mean. If a random sample of 20 vehicles is taken and results in a sample mean of 60miles per hour, find a 98% confidence interval for the population mean. • Round the final answer to two decimal places. Answer 56.36 – 63.64 t or z Confidence Interval for µ Confidence Level 0.980 n 20 Mean 60.0000 StDev 7.0000 pop stdev yes SE 1.565248 z 2.326 Margin of Error 3.640766 Lower Limit 56.359234 Upper Limit 63.640766 25. Suppose finishing time for cyclists in a race are normally distributed and have a known population standard deviation of 6minutes and an unknown population mean. A random sample of 18 cyclists is taken and gives a sample mean of 146minutes. Find the confidence interval for the population mean with a 99% confidence level. Answer: 142.36 – 149.64 t or z Confidence Interval for µ Confidence Level 0.990 n 18 Mean 146.0000 StDev 6.0000 pop stdev yes SE 1.414214 z 2.576 Margin of Error 3.643014 Lower Limit 142.356986 Upper Limit 149.643014 26. Suppose the germination periods, in days, for grass seed are normally distributed. If the population standard deviation is 3days, what minimum sample size is needed to be 90% confident that the sample mean is within 1 day of the true population mean? Answer: 25 seeds Minimum Sample Size μ for population mean Confidence Level 0.900 StDev 3 Error 1 z-Value 1.645 Minimum Sample Size 25 27. Suppose the number of square feet per house is normally distributed. If the population standard deviation is 155 square feet, what minimum sample size is needed to be 90% confident that the sample mean is within 47 square feet of the true population mean? Answer: 30 houses Minimum Sample Size μ for population mean Confidence Level 0.900 StDev 155 Error 47 z-Value 1.645 Minimum Sample Size 30 28. In a survey of 1,000 adults in a country, 722 said that they had eaten fast food at least once in the past month. Create a 95% confidence interval for the population proportion of adults who ate fast food at least once in the past month. Use Excel to create the confidence interval, rounding to four decimal places. Answer: 0.6942 – 0.7498 Confidence Interval for p Proportions Confidence Level 0.950 n 1000 Number of Successes 722 Sample Proportion 0.722000 SE 0.014167 z 1.960 Margin of Error 0.027768 Lower Limit 0.694232 Upper Limit 0.749768 29. A college admissions director wishes to estimate the mean age of all students currently enrolled. The age of a random sample of 23 students is given below. Assume the ages are approximately normally distributed. Use Excel to construct a 90% confidence interval for the population mean age. Round your answers to two decimal places and use increasing order. Answer: 22.61 – 23.59 Data 25.8 Mean 23.1043 22.2 Sample Standard Deviation 1.3693 22.5 22.8 24.6 24 22.6 23.6 22.8 23.1 21.5 21.4 22.5 24.5 21.5 22.5 20.5 23 25.1 25.2 23.8 21.8 24.1 t or z Confidence Interval for µ Confidence Level 0.900 n 23 Mean 23.1043 StDev 1.3693 pop stdev no SE 0.285519 t 1.717 Margin of Error 0.490236 Lower Limit 22.614064 Upper Limit 23.594536 30. The yearly incomes, in thousands, for 24 random married couples living in a city are given below. Assume the yearly incomes are approximately normally distributed. Use Excel to find the 95% confidence interval for the true mean, in thousands. Round your answers to three decimal places and use increasing order. Answer: 58.984 – 59.026 Data 59.015 Mean 59.0050 58.962 Sample Standard Deviation 0.0494 58.935 58.989 58.997 58.97 59 59.014 59.001 59.003 58.992 58.926 59.032 58.958 59.093 58.955 59.003 58.952 59.057 59.056 59.074 59.128 59.001 59.007 t or z Confidence Interval for µ Confidence Level 0.950 n 24 Mean 59.0050 StDev 0.0494 pop stdev no SE 0.010084 t 2.069 Margin of Error 0.020863 Lower Limit 58.984137 Upper Limit 59.025863 31. A tax assessor wants to assess the mean property tax bill for all homeowners in a certain state. From a survey ten years ago, a sample of 28 property tax bills is given below. Assume the property tax bills are approximately normally distributed. Use Excel to construct a 95% confidence interval for the population mean property tax bill. Round your answers to two decimal places and use increasing order. Answer: 1185.91 – 1595.59 32. The table below provides a random sample of 20 exam scores for a large geology class. Use Excel to construct a 90% confidence interval for the mean exam score of the class. Round your answers to one decimal place and use ascending order. Answer: 79.7 – 88.5 t or z Confidence Interval for µ Confidence Level 0.900 n 20 Mean 84.1000 StDev 11.4200 pop stdev no SE 2.553590 t 1.729 Margin of Error 4.415156 Lower Limit 79.684844 Upper Limit 88.515156 33. Suppose scores on exams in statistics are normally distributed with an unknown population mean. A sample of 26 scores is given below. Use Excel to find a 90% confidence interval for the true mean of statistics exam scores. Round your answers to one decimal place and use increasing order. Answer: 67.2 – 69.4 Confidence Level 0.900 n 26 Mean 68.3077 StDev 3.2220 pop stdev no SE 0.631886 t 1.708 Margin of Error 1.079262 Lower Limit 67.228438 Upper Limit 69.386962 33. In a city, 22 coffee shops are randomly selected, and the temperature of the coffee sold at each shop is noted. Use Excel to find the 90% confidence interval for the population mean temperature. Assume the temperatures are approximately normally distributed. Round your answers to two decimal places and use increasing order. Answer: 153.21 – 161.43 t or z Confidence Interval for µ Confidence Level 0.900 n 22 Mean 157.3182 StDev 11.2054 pop stdev no SE 2.388999 t 1.721 Margin of Error 4.111468 Lower Limit 153.206732 Upper Limit 161.429668 34. Weights, in pounds, of ten-year-old girls are collected from a neighborhood. A sample of 26 is given below. Assuming normality, use Excel to find the 98% confidence interval for the population mean weight μ. Round your answers to three decimal places and use increasing order. Answer: 66.497 – 77.234 t or z Confidence Interval for µ Confidence Level 0.980 n 26 Mean 71.8654 StDev 11.0160 pop stdev no SE 2.160415 t 2.485 Margin of Error 5.368632 Lower Limit 66.496768 Upper Limit 77.234032 35. A sample of 22 test-tubes tested for number of times they can be heated on a Bunsen burner before they crack is given below. Assume the counts are normally distributed. Use Excel to construct a 99% confidence interval for μ. Round your answers to two decimal places and use increasing order. Answer: 1071.77 – 1477.33 36. The monthly incomes from a random sample of 20 workers in a factory is given below in dollars. Assume the population has a normal distribution and has standard deviation $518. Compute a 98% confidence interval for the mean of the population. Round your answers to the nearest dollar and use ascending order. Answer: 11,833 – 12,372 37. Assume the distribution of commute times to a major city follows the normal probability distribution and the standard deviation is 4.5 minutes. A random sample of 104 commute times is given below in minutes. Use Excel to find the 98%confidence interval for the mean travel time in minutes. Round your answers to one decimal place and use ascending order. Answer: 25.9 – 27.9 38. Installation of a certain hardware takes a random amount of time with a standard deviation of 7 minutes. A computer technician installs this hardware on 50 different computers. These times are given in the accompanying dataset. Compute a 95% confidence interval for the mean installation time. Round your answers to two decimal places and use ascending order. Answer: 40.76 – 44.64 Confidence Level 0.950 n 50 Mean 42.7000 StDev 7.0000 pop stdev y SE 0.989949 z 1.960 Margin of Error 1.940301 Lower Limit 40.759699 Upper Limit 44.640301 39. Assume that farm sizes in a particular region are normally distributed with a population standard deviation of 150 acres. A random sample of 50 farm sizes in this region is given below in acres. Estimate the mean farm size for this region with 90%confidence. Round your answers to two decimal places and use ascending order. Answer: 474.87 – 544.65 40. The amounts of time that customers stay in a certain restaurant for lunch is normally distributed with a standard deviation of 17 minutes. A random sample of 50 lunch customers was taken at this restaurant. Construct a 99% confidence interval for the true average amount of time customers spend in the restaurant for lunch. Round your answers to two decimal places and use ascending order. Answer: 44.89 – 57.27 41. Recent studies have shown that out of 1,000 children, 885 children like ice cream. What is the 99% confidence interval for the true proportion of children who like ice cream, based on this sample? Round z⋆ to two decimal places and other answers to four decimal places. Provide your answer below: .8590 - .9110 Confidence Interval for p Proportions Confidence Level 0.990 Enter decimal n 1000 Number of Successes 885 Sample Proportion 0.885000 SE 0.010088 z 2.576 Margin of Error 0.025988 Lower Limit 0.859012 Upper Limit 0.910988 42. A large company is concerned about the commute times of its employees. 333 employees were surveyed, and 131employees said that they had a daily commute longer than 30 minutes. Create a 95% confidence interval for the proportion of employees who have a daily commute longer than 30 minutes. Use Excel to create the confidence interval, rounding to four decimal places. ________________________________________ Provide your answer below: .3409 - .4459 Confidence Interval for p Proportions Confidence Level 0.950 n 333 Number of Successes 131 Sample Proportion 0.393393 SE 0.026770 z 1.960 Margin of Error 0.052469 Lower Limit 0.340925 Upper Limit 0.445862 43. The following data represent a random sample for the ages of 41 players in a baseball league. Assume that the population is normally distributed with a standard deviation of 2.1 years. Use Excel to find the 98% confidence interval for the true mean age of players in this league. Round your answers to three decimal places and use ascending order. Answer: 27.579 – 29.104 t or z Confidence Interval for µ Confidence Level 0.980 n 41 Mean 28.3415 StDev 2.1000 pop stdev yes SE 0.327965 z 2.326 Margin of Error 0.762846 Lower Limit 27.578654 Upper Limit 29.104346 44. In order to determine the average weight of carry-on luggage by passengers in airplanes, a sample of 25 pieces of carry-on luggage was collected and weighed in pounds. Assume that the population is normally distributed with a standard deviation of 5 pounds. Find the 95% confidence interval of the mean weight in pounds. Round your answers to two decimal places and use ascending order. Answer: 15.36 – 19.28 t or z Confidence Interval for µ Confidence Level 0.950 n 25 Mean 17.3200 StDev 5.0000 pop stdev yes SE 1.000000 z 1.960 Margin of Error 1.960000 Lower Limit 15.360000 Upper Limit 19.280000 45. A company wants to determine a confidence interval for the average CPU time of its teleprocessing transactions. A sample of 70 random transactions in milliseconds is given below. Assume that the transaction times follow a normal distribution with a standard deviation of 600 milliseconds. Use Excel to determine a 98% confidence interval for the average CPU time in milliseconds. Round your answers to the nearest integer and use ascending order. Answer: 5907 – 6240 t or z Confidence Interval for µ Confidence Level 0.980 n 70 Mean 6,073.4286 StDev 600.0000 pop stdev yes SE 71.713717 z 2.326 Margin of Error 166.806105 Lower Limit 5906.622495 Upper Limit 6240.234705 46. The number of hours worked per year per adult in a state is normally distributed with a standard deviation of 37. A sample of 115 adults is selected at random, and the number of hours worked per year per adult is given below. Use Excel to calculate the 98% confidence interval for the mean hours worked per year for adults in this state. Round your answers to two decimal places and use ascending order. Answer: 2090.03 – 2106.09 47. An automobile shop manager timed 27 employees and recorded the time, in minutes, it took them to change a water pump. Assuming normality, use Excel to find the 99% confidence interval for the true mean. Round your answers to three decimal places and use increasing order. Answer: 15.499 – 19.139 t or z Confidence Interval for µ Confidence Level 0.990 n 27 Mean 17.3185 StDev 3.4029 pop stdev no SE 0.654888 t 2.779 Margin of Error 1.819935 Lower Limit 15.498565 Upper Limit 19.138435 48. A type of golf ball is tested by dropping it onto a hard surface from a height of 1 meter. The height it bounces is known to be normally: distributed. A sample of 25 balls is tested and the bounce heights are given below. Use Excel to find a 95%confidence interval for the mean bounce height of the golf ball. Round your answers to two decimal places and use increasing order. Answer: 79.95 – 82.62 t or z Confidence Interval for µ Confidence Level 0.950 n 25 Mean 81.2840 StDev 3.2269 pop stdev no SE 0.645380 t 2.064 Margin of Error 1.332064 Lower Limit 79.951936 Upper Limit 82.616064 49. The heart rates for a group of 21 students taking a final exam are given below. Assume the heart rates are normally distributed. Use Excel to find the 95% confidence interval for the true mean. Round your answers to two decimal places and use increasing order. Answer: 91.31 – 95.17 t or z Confidence Interval for µ Confidence Level 0.950 n 21 Mean 93.2381 StDev 4.2415 pop stdev no SE 0.925571 t 2.086 Margin of Error 1.930741 Lower Limit 91.307359 Upper Limit 95.168841 50. Suppose a clothing store wants to determine the current percentage of customers who are over the age of forty. How many customers should the company survey in order to be 90% confident that the estimated (sample) proportion is within 4percentage points of the true population proportion of customers who are over the age of forty? Answer: 423 Minimum Sample Size p for Proportion Confidence Level 0.900 Sample Proportion 0.5 Error 0.04 z-Value 1.645 Minimum Sample Size 423 51. Virginia wants to estimate the percentage of students who live more than three miles from the school. She wants to create a 95% confidence interval which has an error bound of at most 5%. How many students should be polled to create the confidence interval? Answer: 385 Minimum Sample Size p for Proportion Confidence Level 0.950 Sample Proportion 0.5 Error 0.05 z-Value 1.960 Minimum Sample Size 385 52. Suppose an automotive repair company wants to determine the current percentage of customers who keep up with regular vehicle maintenance. How many customers should the company survey in order to be 95% confident that the estimated (sample) proportion is within 4 percentage points of the true population proportion of customers who keep up with regular vehicle maintenance? Answer: 601 Minimum Sample Size p for Proportion Confidence Level 0.950 Sample Proportion 0.5 Error 0.04 z-Value 1.960 Minimum Sample Size 601 53. Suppose a clothing store wants to determine the current percentage of customers who are over the age of forty. How many customers should the company survey in order to be 92% confident that the estimated (sample) proportion is within 5percentage points of the true population proportion of customers who are over the age of forty? Answer: 307 Minimum Sample Size p for Proportion Confidence Level 0.920 Sample Proportion 0.5 Error 0.05 z-Value 1.751 Minimum Sample Size 307 54. The average height of a population is unknown. A random sample from the population yields a sample mean of x¯=66.3inches. Assume the sampling distribution of the mean has a standard deviation of σx¯=0.8 inches. Use the Empirical Rule to construct a 95% confidence interval for the true population mean height. Provide your answer below: 64.7 –67.9 55. In a random sample of 30 young bears, the average weight at the age of breeding is 312 pounds. Assuming the population ages are normally distributed with a population standard deviation is 30 pounds, use the Empirical Rule to construct a 68%confidence interval for the population average of young bears at the age of breeding. Do not round intermediate calculations. Round only the final answer to the nearest pound. Remember to enter the smaller value first, then the larger number. Answer: 307 – 317 56. In a food questionnaire, a random sample of teenagers were asked whether they like pineapple pizza. The questionnaire resulted in a sample proportion of p′=0.43, with a sampling standard deviation of σp′=0.06, who like this type of pizza. Write a 99.7% confidence interval using the Empirical Rule for the true proportion of teenagers who like pineapple pizza. Answer: 0.25 - 0.61 57. A marine biologist is interested in whether the Chinook salmon, a particular species of salmon in the Pacific Northwest, are getting smaller within the last decade. In a random sample of this species of salmon, she found the mean length was x¯=36inches with a margin of error of 9 inches. Construct a confidence interval for the mean length of Chinook salmon. Answer: 27 - 45 58. A researcher is trying to estimate the population mean for a certain set of data. The sample mean is 45, and the error bound for the mean is 9, at a 99.7% confidence level. (So, x¯=45 and EBM = 9.) Find and interpret the confidence interval estimate. Answer: We can estimate, with 99.7% confidence that the true value of the population mean is between 36 and 54. 59. A random sample of registered voters were asked about an issue on the ballot of an upcoming election. The proportion of those surveyed who plan to vote "Yes" on the issue is 0.54, with a margin of error of 0.06. Construct a confidence interval for the proportion of registered voters that plan to vote "Yes" on the issue. Answer: .48 - .60 (0.54-0.06 ; 0.54 + 0.06) [Show Less]
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MATH225 Week 6 Assignment / MATH225N Week 6 Quiz (Latest, 2021/2022): Chamberlain College of Nursing |100% Correct Q & A|
MATH225 Week 6 Assignment / MATH225N Week 6 Quiz (Latest, 2021/2022): Chamberlain College of Nursing |100% Correct Q & A| MATH 225 Week 6 Assignment / MAT... [Show More] H 225N Week 6 Quiz (Latest, 2021/2022): Chamberlain College of Nursing |100% Correct Q & A| MATH225 Week 6 Quiz / MATH 225 Week 6 Quiz (Latest): Statistical reasoning for health sciences: Chamberlain College of Nursing MATH225N Week 6 Quiz / MATH 225N Week 6 Quiz (Latest): Statistical reasoning for health sciences : Chamberlain College of Nursing Question 1 A statistics professor recently graded final exams for students in her introductory statistics course. In a review of her grading, she found the mean score out of 100 points was a x¯=77, with a margin of error of 10. Construct a confidence interval for the mean score (out of 100 points) on the final exam. ________________________________________ That is correct! ________________________________________ Answer: (67, 87) Question 2 A random sample of adults were asked whether they prefer reading an e-book over a printed book. The survey resulted in a sample proportion of p′=0.14, with a sampling standard deviation of σp′=0.02, who preferred reading an e-book. Use the empirical rule to construct a 95% confidence interval for the true proportion of adults who prefer e-books. ________________________________________ That is correct! ________________________________________ Answer: ( 0.10, 0.18) Question 3 The pages per book in a library are normally distributed with an unknown population mean. A random sample of books is taken and results in a 95% confidence interval of (237,293) pages. What is the correct interpretation of the 95% confidence interval? ________________________________________ That is correct! ________________________________________ We estimate with 95% confidence that the sample mean is between 237 and 293 pages. We estimate that 95% of the time a book is selected, there will be between 237 and 293 pages. We estimate with 95% confidence that the true population mean is between 237 and 293 pages. Question 4 The population standard deviation for the heights of dogs, in inches, in a city is 3.7 inches. If we want to be 95% confident that the sample mean is within 2 inches of the true population mean, what is the minimum sample size that can be taken? Round up to the nearest integer. ________________________________________ That is correct! ________________________________________ Answer: 14 dog heights Question 5 Clarence wants to estimate the percentage of students who live more than three miles from the school. He wants to create a 98% confidence interval which has an error bound of at most 4%. How many students should be polled to create the confidence interval? z0.10 z0.05 z0.025 z0.01 z0.005 1.282 1.645 1.960 2.326 2.576 Use the table of values above. ________________________________________ That is correct! ________________________________________ Answer: 846 Students Question 6 The average score of a random sample of 87 senior business majors at a university who took a certain standardized test follows a normal distribution with a standard deviation of 28. Use Excel to determine a 90% confidence interval for the mean of the population. Round your answers to two decimal places and use ascending order.. Score 516 536 462 461 519 496 517 488 521 HelpCopy to ClipboardDownload CSV ________________________________________ That is correct! ________________________________________ Answer: (509.30, 519.18) Question 7 A random sample of 28 statistics tutorials was selected from the past 5 years and the percentage of students absent from each one recorded. The results are given below. Assume the percentages of students' absences are approximately normally distributed. Use Excel to estimate the mean percentage of absences per tutorial over the past 5 years with 90% confidence. Round your answers to two decimal places and use increasing order. Number of Absences 13.9 16.4 12.3 13.2 8.4 4.4 10.3 8.8 4.8 HelpCopy to ClipboardDownload CSV ________________________________________ That is correct! ________________________________________ Answer: (9.22, 11.61) Question 8 Eric is studying people's typing habits. He surveyed 525 people and asked whether they leave one space or two spaces after a period when typing. 440 people responded that they leave one space. Create a 90% confidence interval for the proportion of people who leave one space after a period. • Round your results to four decimal places. ________________________________________ That is correct! Answer: (0.8117, 0.8645) Question 9 A sample of 27 employees for the Department of Health and Human Services has the following salaries, in thousands of dollars. Assuming normality, use Excel to find the 98% confidence interval for the true mean salary, in thousands of dollars. Round your answers to two decimal places and use increasing order. Salary 71 70 69 65 72 69 72 72 71 HelpCopy to ClipboardDownload CSV ________________________________________ That is correct! ________________________________________ Answer: (69.14, 71.38) Question 10 The population standard deviation for the heights of dogs, in inches, in a city is 3.7 inches. If we want to be 95% confident that the sample mean is within 1 inch of the true population mean, what is the minimum sample size that can be taken? z0.101.282z0.051.645z0.0251.960z0.012.326z0.0052.576 Use the table above for the z-score, and be sure to round up to the nearest integer. ________________________________________ That is correct! ________________________________________ Answer: 53 dog heights Question 11 A random sample of house sizes in major city has a sample mean of x¯=1204.9 sq ft and sample standard deviation of s=124.6 sq ft. Use the Empirical Rule to determine the approximate percentage of house sizes that lie between 955.7and 1454.1 sq ft. Round your answer to the nearest whole number (percent). ________________________________________ That is correct! ________________________________________ Answer: 95% Question 12 The graph below shows the graphs of several normal distributions, labeled A, B, and C, on the same axis. Determine which normal distribution has the smallest standard deviation. ________________________________________ That is correct! A B C Question 13 The resistance of a strain gauge is normally distributed with a mean of 100 ohms and a standard deviation of 0.3 ohms. To meet the specification, the resistance must be within the range 100±0.7 ohms. What proportion of gauges is acceptable? • Round your answer to four decimal places. ________________________________________ That is correct! ________________________________________ Answer: 0.9804 Question 14 A baker knows that the daily demand for strawberry pies is a random variable that follows the normal distribution with a mean of 31.8 pies and a standard deviation of 4.5 pies. Find the demand that has an 8% probability of being exceeded. • Use Excel, and round your answer to two decimal places. ________________________________________ That is correct! ________________________________________ Answer: 38.12 Question 15 A group of friends has gotten very competitive with their board game nights. They have found that overall, they each have won an average of 18 games, with a population standard deviation of 6 games. If a sample of only 2 friends is selected at random from the group, select the expected mean and the standard deviation of the sampling distribution from the options below. Remember to round to the nearest whole number. ________________________________________ That is correct! ________________________________________ • σx¯=6 games • ________________________________________ • σx¯=3 games • ________________________________________ • σx¯=4 games • ________________________________________ • μx¯=18 games • ________________________________________ • μx¯=3 games • ________________________________________ • μx¯=9 games • ________________________________________ • Question 16 • An elementary school has a population of 635 students, 600 of whom have received the chicken pox vaccine. The school nurse wants to make sure that the school meets all state requirements for vaccinations at public schools. • Find the population proportion, as well as the mean and standard deviation of the sampling distribution for samples of size n=120. • Round all answers to 3 decimal places. • ________________________________________ • That is correct! • ________________________________________ • p = 0.945 • μp̂ = 0.945 • σp̂ = 0.021 Question 17 The lengths of text messages are normally distributed with an unknown population mean. A random sample of text messages is taken and results in a 95% confidence interval of (23,47) characters. What is the correct interpretation of the 95% confidence interval? ________________________________________ That is correct! ________________________________________ We estimate that 95% of text messages have lengths between 23 and 47 characters. We estimate with 95% confidence that the true population mean is between 23 and 47 characters. We estimate with 95% confidence that the sample mean is between 23 and 47 characters. Question 18 Given the plot of normal distributions A and B below, which of the following statements is true? Select all correct answers. A normal bell curve labeled Upper A and a normal elongated curve labeled Upper B are centered at the same point. Normal curve Upper B is narrower and above normal curve Upper A. ________________________________________ That is correct! ________________________________________ • A has the larger mean. • ________________________________________ • B has the larger mean. • ________________________________________ • The means of A and B are equal. • ________________________________________ • A has the larger standard deviation. • ________________________________________ • B has the larger standard deviation. • ________________________________________ • The standard deviations of A and B are equal. Question 19 A tour guide company is trying to decide if it is going to increase the cost of its tours to cover its sunk costs. They find that the average sunk cost per tour is $58, with a standard deviation of $18. If they take a random sample of 36 tours, identify each of the following to help them make their decision and round to the nearest hundredth if necessary: Answer: μ=58 σ=18 n= 36 μx=58 σx=3 Question 20 From a recent company survey, it is known that the proportion of employees older than 55 and considering retirement is 8%. For a random sample of size 110, what is standard deviation for the sampling distribution of the sample proportions, rounded to three decimal places? ________________________________________ That is correct! ________________________________________ Answer: 0.26 Question 21 In order to estimate the average electricity usage per month, a sample of 125 residential customers were selected, and the monthly electricity usage was determined using the customers' meter readings. Assume a population variance of 12,100kWh2. Use Excel to find the 98% confidence interval for the mean electricity usage in kilowatt hours. Round your answers to two decimal places and use ascending order. Electric Usage 765 1139 714 687 1027 1109 749 799 911 HelpCopy to ClipboardDownload CSV ________________________________________ That is correct! Answer: (894.43, 940.21) Question 22 Hugo averages 40 words per minute on a typing test with a standard deviation of 15 words per minute. Suppose Hugo's words per minute on a typing test are normally distributed. Let X= the number of words per minute on a typing test. Then, X∼N(40,15). Suppose Hugo types 56 words per minute in a typing test on Wednesday. The z-score when x=56 is ________. This z-score tells you that x=56 is ________ standard deviations to the ________ (right/left) of the mean, ________. Correctly fill in the blanks in the statement above. ________________________________________ That is correct! ________________________________________ Suppose Hugo types 56 words per minute in a typing test on Wednesday. The z-score when x=56 is −0.889. This z-score tells you that x=56 is 0.889 standard deviations to the left of the mean, 40. Suppose Hugo types 56 words per minute in a typing test on Wednesday. The z-score when x=56 is −1.067. This z-score tells you that x=56 is 1.067 standard deviations to the left of the mean, 40. Suppose Hugo types 56 words per minute in a typing test on Wednesday. The z-score when x=56 is 1.067. This z-score tells you that x=56 is 1.067 standard deviations to the right of the mean, 40. Suppose Hugo types 56 words per minute in a typing test on Wednesday. The z-score when x=56 is 0.889. This z-score tells you that x=56 is 0.889 standard deviations to the right of the mean, 40. Question 23 Hugo averages 62 words per minute on a typing test with a standard deviation of 8 words per minute. Suppose Hugo's words per minute on a typing test are normally distributed. Let X= the number of words per minute on a typing test. Then, X∼N(62,8). Suppose Hugo types 56 words per minute in a typing test on Wednesday. The z-score when x=56 is ________. This z-score tells you that x=56 is ________ standard deviations to the ________ (right/left) of the mean, ________. Correctly fill in the blanks in the statement above. ________________________________________ That is correct! ________________________________________ Suppose Hugo types 56 words per minute in a typing test on Wednesday. The z-score when x=56 is 0.75. This z-score tells you that x=56 is 0.75 standard deviations to the right of the mean, 62. Suppose Hugo types 56 words per minute in a typing test on Wednesday. The z-score when x=56 is −0.75. This z-score tells you that x=56 is 0.75 standard deviations to the left of the mean, 62. Suppose Hugo types 56 words per minute in a typing test on Wednesday. The z-score when x=56 is 0.545. This z-score tells you that x=56 is 0.545 standard deviations to the right of the mean, 62. Suppose Hugo types 56 words per minute in a typing test on Wednesday. The z-score when x=56 is −0.545. This z-score tells you that x=56 is 0.545 standard deviations to the left of the mean, 62. Question 24 Lisa has collected data to find that the number of pages per book on a book shelf has a normal distribution. What is the probability that a randomly selected book has fewer than 168 pages if the mean is 190 pages and the standard deviation is 22 pages? Use the empirical rule.Enter your answer as a percent rounded to two decimal places if necessary. ________________________________________ That is correct! ________________________________________ Answer: 15.87% Question 25 Lisa has collected data to find that the number of pages per book on a book shelf has a normal distribution. What is the probability that a randomly selected book has fewer than 140 pages if the mean is 190 pages and the standard deviation is 25 pages? Use the empirical rule.Enter your answer as a percent rounded to two decimal places if necessary. That is correct! Correct answers: 2.5% [Show Less]
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MATH225 Week 7 Assignment (8 Q/A)/ MATH225N Week 7 Assignment - Developing Hypothesis and understanding Possible Conclusion for Proportions: Chamberlain College of Nursing
MATH225 Week 7 Assignment (8 Q/A)/ MATH225N Week 7 Assignment - Developing Hypothesis and understanding Possible Conclusion for Proportions: Chamberlain Co... [Show More] llege of Nursing MATH 225 Week 7 Assignment (8 Q/A) / MATH 225N Week 7 Assignment - Developing Hypothesis and understanding Possible Conclusion for Proportions: Chamberlain College of Nursing MATH 225 Week 7 Assignment / MATH225N Week 7 Assignment - Developing Hypothesis and understanding Possible Conclusion for Proportions: Chamberlain College of Nursing MATH 225N Week 7 Assignment / MATH225 Week 7 Assignment - Developing Hypothesis and understanding Possible Conclusion for Proportions: Chamberlain College of Nursing Identify the null and alternative hypotheses for an experiment with one population proportion Question Devin is a researcher for a pharmaceutical company testing whether a new prescription pain medication causes patients to develop nausea. The medication would have to be scrapped if more than 6% of patients who take the medication develop nausea on a regular basis. Devin randomly selected 461 patients for a clinical trial of the medication and found that 27 of the patients developed nausea on a regular basis. What are the null and alternative hypotheses for this hypothesis test?{H0:p=0.06Ha:p>0.06 First verify whether all of the conditions have been met. Let p be the population proportion for patients taking the medication who develop nausea on a regular basis. 1. Since there are two independent outcomes for each trial, the proportion follows a binomial model. 2. The question states that the sample was collected randomly. 3. The expected number of successes, np=27.66, and the expected number of failures, nq=n(1−p)=433.34, are both greater than or equal to 5. Since Devin is trying to determine whether more than 6% of the patients taking the medication develop nausea on a regular basis, the null hypothesis is that p is equal to 0.06 and the alternative hypothesis is that p is greater than 0.06. The null and alternative hypotheses are shown below. {H0:p=0.06Ha:p>0.06 ________________________________________ Great work! That's correct. Compute the value of the test statistic (z-value) for a hypothesis test for proportion Question A college professor claims that the proportion of students passing a statistics course is 80%. To test this claim, a random sample of 250 students who previously took the course is taken and it is determined that 221 students passed the course. The following is the setup for this hypothesis test: H0:p = 0.80 Ha:p ≠ 0.80 Find the test statistic for this hypothesis test for a proportion and round your answer to 2 decimal places. ________________________________________ Well done! You got it right. ________________________________________ 3.32The proportion of successes is p̂ =221250=0.884. The test statistic is calculated as follows: z=p̂ −p0p0⋅(1−p0)n√ z=0.884−0.800.80⋅(1−0.80)250√ z≈3.32 Compute the value of the test statistic (z-value) for a hypothesis test for proportion Question A researcher is investigating a government claim that the unemployment rate is less than 5%. To test this claim, a random sample of 1500 people is taken and its determined that 92 people are unemployed. The following is the setup for this hypothesis test: {H0:p=0.05Ha:p<0.05 Find the test statistic for this hypothesis test for a proportion. Round your answer to 2 decimal places. ________________________________________ Test_Statistic=2.01Great work! That's correct. Identify the null and alternative hypotheses for an experiment with one population proportion Question An airline company claims in a recent advertisement that more than 94% of passenger luggage that it lost is recovered and reunited with the customer within 1 day. Hunter is a graduate student studying statistics. For a research project, Hunter wants to find out whether there is convincing evidence in support of the airline company's claim. He randomly selects 315 passengers of the airline whose luggage was lost by the airline and found that 276 of those passengers were reunited with their luggage within 1 day. Are all of the conditions for this hypothesis test met, and if so, what are the null and alternative hypotheses for this hypothesis test?Correct answer: All of the conditions to conduct the hypothesis test have been met. The null and alternative hypotheses are {H0:p=0.94Ha:p>0.94. First verify whether all of the conditions have been met. Let p be the population proportion for the airline passengers whose luggage was lost by the airline and were reunited with their luggage within 1 day. 1. Since Hunter is completing a survey where there are two independent outcomes, the proportion follows a binomial model. 2. The question states that Hunter randomly selected the airline passengers whose luggage was lost by the airline. 3. The expected number of successes, np=296.1, and the expected number of failures, nq=n(1−p)=18.9, are both greater than or equal to 5. Since all of the conditions for this hypothesis test have been satisfied, determine the null and alternative hypotheses. Since Hunter is determining whether the proportion for reuniting passengers with their luggage within 1 day is greater than 94%, the null hypothesis is that p is equal to 0.94 and the alternative hypothesis is that p is greater than 0.94. The null and alternative hypotheses are shown below. Yes that's right. Keep it up! {H0:p=0.94Ha:p>0.94 Identify the null and alternative hypotheses for an experiment with one population proportion Question Kylie works for a large nursery and is investigating whether to use a new brand of seeds. The new brand of seeds advertises that 93% of the seeds germinate, which is higher than the germination rate of the seeds she is currently using. She will change over to this new brand unless the actual germination rate is less than what is advertised. Kylie conducts an experiment by randomly selecting 76 seeds of the new brand and plants them. She finds that 70 of those seeds germinated. What are the null and alternative hypotheses for this hypothesis test? Correct answer:Correct! You nailed it. {H0:p=0.93Ha:p<0.93 First verify whether all of the conditions have been met. Let p be the population proportion for the germination rate of the new seeds. 1. Since there are two independent outcomes for each trial, the proportion follows a binomial model. 2. The question states that the sample was collected randomly. 3. The expected number of successes, np=70.68, and the expected number of failures, nq=n(1−p)=5.32, are both greater than or equal to 5. Since Kylie is testing whether the germination rate is less than 93%, the null hypothesis is that p is equal to 0.93 and the alternative hypothesis is that p is less than 0.93. The null and alternative hypotheses are shown below. {H0:p=0.93Ha:p<0.93 Identify the null and alternative hypotheses for an experiment with one population proportion Question A politician recently made the claim that 47% of taxpayers from a certain region do not pay any income taxes. Makayla is a journalist for an online media company and is testing the politician's claim for an op-ed. She randomly selects 159 taxpayers from the region to conduct a survey and finds that 73 of them do not pay any income taxes. What are the null and alternative hypotheses for this hypothesis test?Correct answer: {H0:p=0.47Ha:p≠0.47. Correct! You nailed it. First verify whether all of the conditions have been met. Let p be the population proportion for the taxpayers who do not pay any income taxes. 1. Since there are two independent outcomes for each trial, the proportion follows a binomial model. 2. The question states that the sample was collected randomly. 3. The expected number of successes, np=74.73, and the expected number of failures, nq=n(1−p)=84.27, are both greater than or equal to 5. Since Makayla is testing the politician's claim of 47%, the null hypothesis is that p is equal to 0.47 and the alternative hypothesis is that p is not equal to 0.47. The null and alternative hypotheses are shown below. {H0:p=0.47Ha:p≠0.47 Compute the value of the test statistic (z-value) for a hypothesis test for proportion Question A college administrator claims that the proportion of students that are nursing majors is greater than 40%. To test this claim, a group of 400 students are randomly selected and its determined that 190 are nursing majors. The following is the setup for this hypothesis test: {H0:p=0.40Ha:p>0.40 Find the test statistic for this hypothesis test for a proportion. Round your answer to 2 decimal places.Correct answers: Test_Statistic=3.06Perfect. Your hard work is paying off 😀 The proportion of successes is p̂ =190400=0.475. The test statistic is calculated as follows: z=p̂ −p0p0⋅(1−p0)n‾‾‾‾‾‾‾√ z=0.475−0.400.40⋅(1−0.40)400‾‾‾‾‾‾‾‾‾‾√z≈3.06 Compute the value of the test statistic (z-value) for a hypothesis test for proportion Question A researcher claims that the proportion of people who are right-handed is greater than 70%. To test this claim, a random sample of 600 people is taken and its determined that 410 people are right handed. The following is the setup for this hypothesis test: {H0:p=0.70Ha:p>0.70 Find the test statistic for this hypothesis test for a proportion. Round your answer to 2 decimal places.Correct answers: Test_Statistic=−0.89Well done! You got it right. The proportion of successes is p̂ =410600=0.683. The test statistic is calculated as follows: z=p̂ −p0p0⋅(1−p0)n‾‾‾‾‾‾‾√ z=0.683−0.700.70⋅(1−0.70)600‾‾‾‾‾‾‾‾‾‾√. z≈−0.89 [Show Less]
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MATH225 Week 7 Assignment (77 Q/A) / MATH225N Week 7 Assignment: Hypothesis Testing Q&A (Latest, 2021/2022): Chamberlain College of Nursing |100% Correct Q & A|
MATH225 Week 7 Assignment (77 Q/A) / MATH225N Week 7 Assignment: Hypothesis Testing Q&A (Latest, 2021/2022): Chamberlain College of Nursing |100% Correct Q... [Show More] & A| MATH 225 Week 7 Assignment (77 Q/A) / MATH 225N Week 7 Assignment: Hypothesis Testing Q&A (Latest, 2021/2022): Chamberlain College of Nursing |100% Correct Q & A| MATH 225 Week 7 Assignment: Hypothesis Testing Q&A (Latest): Statistical reasoning for health sciences Chamberlain College of Nursing MATH225N Week 7 Assignment: Hypothesis Testing Q& A (Latest): Statistical reasoning for health sciences Chamberlain College of Nursing Steve listens to his favorite streaming music service when he works out. He wonders whether the service algorithm does a good job of finding random songs that he will like more often than not. To test this, he listens to 50 songs chosen by the service at random and finds that he likes 32 of them. A magazine regularly tested products and gave the reviews to its customers. In one of its reviews, it tested 2 types of batteries and claimed that the batteries from company A outperformed batteries from company B in 108 of the tests. There were 200 tests. Company B decided to sue the magazine, claiming that the results were not significantly different from 50% and that the magazine was slandering its good name. A candidate in an election lost by 5.8% of the vote. The candidate sued the state and said that more than 5.8% of the ballots were defective and not counted by the voting machine, so a full recount would need to be done. His opponent wanted to ask for the case to be dismissed, so she had a government official from the state randomly select 500 ballots and count how many were defective. The official found 21 defective ballots. A researcher claims that the incidence of a certain type of cancer is < 5%. To test this claim, a random sample of 4000 people are checked and 170 are found to have the cancer. A researcher is investigating a government claim that the unemployment rate is < 5%. TO test this claim, a random sample of 1500 people is taken and it is determined that 61 people were unemployed. An economist claims that the proportion of people that plan to purchase a fully electric vehicle as their next car is greater than 65%. Colton makes the claim to his classmates that < 50% of newborn babies born this year in his state are boys. To prove this claim, he selects a random sample of 344 birth records in his state from this year. Colton found that 176 of the newborns were boys. What are the null and alternative hypothesis for this hypothesis test. An Airline company claims that in its recent advertisement that at least 94% of passenger luggage that is lost is recovered and reunited with their customer within 1 day. Hunter is a graduate student studying statistics. For a research project, Hunter wants to find out whether there is sufficient evidence in support of the airline company’s claim. He randomly selects 315 passengers whose luggage was lost by the airlines and found out that 276 of those passengers were reunited with their luggage within 1 day. Are all of the conditions for his hypotheses test met, and if so, what are the Ho and Ha for this hypothesis test? A college administrator claims that the proportion of students who are nursing majors is > 40%. To test this claim, a group of 400 students are randomly selected and its determined that 190 are nursing majors. The following is the set up for the hypothesis test: Ho: p = .40 and Ha: p = >.40 A hospital administrator claims that the proportion of knee surgeries that are successful are 87%. To test this claim, a random sample of 450 patients who underwent knee surgery is taken and it is determined that 371 patients had a successful knee surgery operation. Ho: p = 0.87 Ha: p ≠0.87 (two sided tail) Jose, a competitor in cup stacking, has a sample stacking time mean of 7.5 seconds from 13 trials. Jose still claims that his average stacking time is 8.5 seconds, and the low average can be contributed to chance. At the 2% significant level, does the data provide sufficient evidence to conclude that Jose’s mean stacking time is less than 8.5 seconds? Given the sample data below, select or reject the hypothesis. (If p=value is < alpha value, we would automatically reject the hypothesis) Marty, a typist, claims his average typing speed is 72 wpm. During a practice session, Marty has a sample typing speed mean of 84 wpm based on 12 trials. At the 5% significance level, does the data provide sufficient evidence to conclude that his mean typing speed is >72 wpm? Accept or reject the hypothesis given the data below. What is the p-value of a right-tailed one mean hypothesis test, with a test statistic of Zo = 2.1? (Do not round your answer. Compute your answer using a value from the table. (Value in table was 0.982) What is the p-value of a two-tailed one mean hypothesis test, with a test statistic of Zo = 0.27? (Do not round your answer. Compute your answer using a value from the table. (Value in table was 0.606) Raymond, a typist, claims his average typing speed is 89 wmp. During a practice session, Raymond has a sample typing speed mean of 95.5 wmp based on 15 trials. At the 1% significance level, does the data provide sufficient evidence to conclude that his mean typing speed is > 89 wmp? Accept or reject the hypothesis given the sample data below: Kurtis is a statistician who claims that the average salary of an employee in the city of Yarmouth is no more than $55,000 per year. Gina, his colleague, believes this to be incorrect, so she randomly selects 61 employees who work in Yarmouth and record their annual salary. Gina calculates the sample mean income to be $56.500 per year with a sample standard deviation of $3750. Using the alternative hypothesis, Ha = μ= >$55,000, find the test statistic τ and the p-value for the appropriate hypothesis test. Round the τ to 2 decimal places and the p-value to 3 decimal places. A college administrator claims that the proportion of students that are nursing majors is less than 40%. To test this claim, a group of 400 students are randomly selected and its determined that 149 are nursing majors. A researcher claims that the incidence of a certain type of cancer is less than 5%. To test this claim, the a random sample of 4000 people are checked and 170 are determined to have the cancer. A police office claims that the proportion of people wearing seat belts is less than 65%. To test this claim, a random sample of 200 drivers is taken and its determined that 126 people are wearing seat belts. A police officer claims that the proportion of accidents that occur in the daytime (versus nighttime) at a certain intersection is 35%. To test this claim, a random sample of 500 accidents at this intersection was examined from police records it is determined that 156 accidents occurred in the daytime. A teacher claims that the proportion of students expected to pass an exam is greater than 80%. To test this claim, the teacher administers the test to 200 random students and determines that 151 students pass the exam. A researcher claims that the proportion of smokers in a certain city is less than 20%. To test this claim, a random sample of 700 people is taken in the city and 150 people indicate they are smokers. A researcher claims that the proportion of people who are right-handed is 70%. To test this claim, a random sample of 600 people is taken and its determined that 397 people are right handed. Kathryn, a golfer, has a sample driving distance mean of 187.3 yards from 13 drives. Kathryn still claims that her average driving distance is 207 yards, and the low average can be attributed to chance. At the 1% significance level, does the data provide sufficient evidence to conclude that Kathryn's mean driving distance is less than 207 yards? Given the sample data below, accept or reject the hypothesis. Mary, a javelin thrower, claims that her average throw is 61 meters. During a practice session, Mary has a sample throw mean of 55.5 meters based on 12 throws. At the 1% significance level, does the data provide sufficient evidence to conclude that Mary's mean throw is less than 61 meters? Accept or reject the hypothesis given the sample data below. Elizabeth claims that her average typing speed is at least 87 words per minute Shawn, a competitor in cup stacking, has a sample stacking time mean of 9.2 seconds from 13 trials. Shawn still claims that her average stacking time is 8.5 seconds, and the high average can be attributed to chance. At the 4% significance level, does the data provide sufficient evidence to conclude that Shawn's mean stacking time is greater than 8.5 seconds? Given the sample data below, accept or reject the hypothesis. Ruby, a bowler, has a sample game score mean of 125.8 from 25 games. Ruby still claims that her average game score is 140, and the low average can be attributed to chance. At the 5% significance level, does the data provide sufficient evidence to conclude that Ruby's mean game score is less than 140? Given the sample data below, accept or reject the hypothesis. Timothy, a bowler, has a sample game score mean of 202.1 from 11 games. Timothy still claims that his average game score is 182, and the high average can be attributed to chance. At the 5% significance level, does the data provide sufficient evidence to conclude that Timothy's mean game score is greater than 182? Given the sample data below, accept or reject the hypothesis. What is the p-value of a two-tailed one-mean hypothesis test, with a test statistic of z0=−1.59? (Do not round your answer; compute your answer using a value from the table below.) 31. What is the p-value of a right-tailed one-mean hypothesis test, with a test statistic of z0=2.05? (Do not round your answer; compute your answer using a value from the table below.) The number on the table was .980 What is the p-value of a left-tailed one-mean hypothesis test, with a test statistic of z0=−1.19? What is the p-value of a left-tailed one-mean hypothesis test, with a test statistic of z0=−0.65? (Do not round your answer; compute your answer using a value from the table below. What is the p-value of a right-tailed one-mean hypothesis test, with a test statistic of z0=0.36? (Do not round your answer; compute your answer using a value from the table below.) What is the p-value of a right-tailed one-mean hypothesis test, with a test statistic of z0=1.82? (Do not round your answer; compute your answer using a value from the table below.) Number in table was 0.966. So 1-.966 = 0.034 What is the p-value of a two-tailed one-mean hypothesis test, with a test statistic of z0=−1.73? (Do not round your answer; compute your answer using a value from the table below.) Table # was 0.042 so 0.042 * 2 = 0.084 A CEO wondered if her company received either more or less complaints from its workers on Monday than any other day. She figured that if it were truly random, 20% of the complaints should have been filed on Monday. She randomly selected 50 complaints and checked the day that they were submitted. In those complaints 13 were submitted on a Monday. The CEO conducts a one-proportion hypothesis test at the 5% significance level, to test whether the true proportion of complaints submitted on a Monday is different from 20%. Which answer choice shows the correct null and alternative hypotheses for this test? 37. A CEO wondered if her company received either more or less complaints from its workers on Monday than any other day. She figured that if it were truly random, 20% of the complaints should have been filed on Monday. She randomly selected 50 complaints and checked the day that they were submitted. In those complaints 13 were submitted on a Monday. The CEO conducts a one-proportion hypothesis test at the 5% significance level, to test whether the true proportion of complaints submitted on a Monday is different from 20%. (a) H0:p=0.2; Ha:p≠0.2, which is a two-tailed test. (b) Use Excel to test whether the true proportion of complaints submitted on a Monday is different from 20%. Identify the test statistic, z, and p-value from the Excel output, rounding to three decimal places. A CEO wondered if her company received either more or less complaints from its workers on Monday than any other day. She figured that if it were truly random, 20% of the complaints should have been filed on Monday. She randomly selected 50 complaints and checked the day that they were submitted. In those complaints 13 were submitted on a Monday. A business owner claims that the proportion of take out orders is greater than 25%. To test this claim, the owner checks the next 250 orders and determines that 60 orders are take out orders. Colton makes the claim to his classmates that less than 50% of newborn babies born this year in his state are boys. To prove this claim, he selects a random sample of 344 birth records in his state from this year. Colton found that 176 of the newborns are boys. What are the null and alternative hypotheses for this hypothesis test? ________________________________________ Kylie works for a large nursery and is investigating whether to use a new brand of seeds. The new brand of seeds advertises that 93% of the seeds germinate, which is higher than the germination rate of the seeds she is currently using. She will change over to this new brand unless the actual germination rate is less than what is advertised. Kylie conducts an experiment by randomly selecting 76 seeds of the new brand and plants them. She finds that 70 of those seeds germinated. What are the null and alternative hypotheses for this hypothesis test? ________________________________________ The owners of a supermarket chain are looking into the effectiveness of the supermarket's loyalty card program. Specifically, they would like to know if the percentage of shoppers in their stores who use the loyalty card has changed from 63% in 2014. Chloe works in the marketing department of the chain and is assigned to answer the owners' inquiry. She randomly selects 196 customers from various stores in the chain and finds that 114 use the loyalty card. What are the null and alternative hypotheses for this hypothesis test? A researcher claims that the proportion of college students who plan to participate in community service after graduation is greater than 35%. To test this claim, a survey asked 500 randomly selected college students if they planned to perform community service after graduation. Of those students, 195 indicated they planned to perform community service. A researcher claims that the proportion of people over 65 years of age in a certain city is greater than 11%. To test this claim, a sample of 1000 people are taken and its determine that 126 people are over 65 years of age. Rosetta, a pitcher, claims that her pitch speed is more than 57 miles per hour, on average. Several of her teammates do not believe her, so she decides to do a hypothesis test, at a 1% significance level, to persuade them. She throws 10 pitches. The mean speed of the sample pitches is 64 miles per hour. Rosetta knows from experience that the standard deviation for her pitch speed is 4 miles per hour. Which of the following results in a null hypothesis p≤0.61 and alternative hypothesis p>0.61? Select the correct answer below: A study says that at least 61% of students study less than 5 hours per week. A researcher thinks this is incorrect, and wants to show that fewer than 61% of students study less than 5 hours per week. A study says that more than 61% of students study less than 5 hours per week. A researcher thinks this is incorrect, and wants to show that at least 61% of students study less than 5 hours per week. A study says that at most 61% of students study less than 5 hours per week. A researcher thinks this is incorrect, and wants to show that more than 61% of students study less than 5 hours per week. A study says that less than 61% of students study less than 5 hours per week. A researcher thinks this is incorrect, and wants to show that more than 61% of students study less than 5 hours per week. Suppose the null hypothesis, H0, is: a weightlifting bar can withstand weights of 800 pounds and less. What is α, the probability of a Type I error in this scenario? the probability that you think the weightlifting bar can withstand weights of 800 pounds and less when, in fact, it cannot the probability that you think the weightlifting bar can withstand weights of 800 pounds and less when, in fact, it can the probability that you think the weightlifting bar cannot withstand weights of 800 pounds and less when, in fact, it can the probability that you think the weightlifting bar cannot withstand weights of 800 pounds and less when, in fact, it cannot Suppose a pitcher claims that his pitch speed is less than 43 miles per hour, on average. Several of his teammates do not believe him, so the pitcher decides to do a hypothesis test, at a 10% significance level, to persuade them. He throws 19pitches. The mean speed of the sample pitches is 35 miles per hour. The pitcher knows from experience that the standard deviation for his pitch speed is 6 miles per hour. H0: μ≥43; Ha: μ<43 α=0.1 (significance level) What is the test statistic (z-score) of this one-mean hypothesis test, rounded to two decimal places? Which graph below corresponds to the following hypothesis test? H0:X≤10.7, Ha:X>10.7 Suppose the null hypothesis, H0, is: a sporting goods store claims that at least 70% of its customers do not shop at any other sporting goods stores. What is the Type I error in this scenario? Select the correct answer below: The sporting goods store thinks that less than 70% of its customers do not shop at any other sporting goods stores when, in fact, less than 70% of its customers do not shop at any other sporting goods stores. The sporting goods store thinks that at least 70% of its customers do not shop at any other sporting goods stores when, in fact, at least 70% of its customers do not shop at any other sporting goods stores. The sporting goods store thinks that less than 70% of its customers do not shop at any other sporting goods stores when, in fact, at least 70% of its customers do not shop at any other sporting goods stores. The sporting goods store thinks that at least 70% of its customers do not shop at any other sporting goods stores when, in fact, less than 70% of its customers do not shop at any other sporting goods store Which of the following results in a null hypothesis p≥0.44 and alternative hypothesis p<0.44? An online article is trying to show that less than 44% of internet users participate in social media, contrary to an established figure saying that at least 44% of internet users participate in social media. Which graph below corresponds to the following hypothesis test? H0:X=14.7, Ha:X≠14.7 Select the correct answer below: Determine the Type I error if the null hypothesis, H0, is: an electrician claims that no more than 10% of homes in the city are not up to the current electric codes. ________________________________________ Select the correct answer below: ________________________________________ The electrician thinks that no more than 10% of homes in the city are not up to the current electrical codes when, in fact, there really are no more than 10% that are not up to the current electric codes. The electrician thinks that more than 10% of the homes in the city are not up to the current electrical codes when, in fact, there really are more than 10% of the homes that do not meet the current electric codes. The electrician thinks that more than 10% of the homes in the city are not up to the current electrical codes when, in fact, at most 10% of the homes in the city are not up to the current electric codes. The electrician thinks that no more than 10% of homes in the city are not up to the current electrical codes when, in fact, more than 10% of the homes are not up to the current electric codes. Suppose the null hypothesis, H0, is: the mean age of the horses on a ranch is 6 years. What is the Type I error in this scenario? ________________________________________ Select the correct answer below: ________________________________________ You think the mean age of the horses on a ranch is 6 years when, in fact, it is. You think the mean age of the horses on a ranch is 6 years when, in fact, it is not. You think the mean age of the horses is not 6 years when, in fact, it is. You think the mean age of the horses is not 6 years when, in fact, it is not. What is β, the probability of a Type II error if the null hypothesis, H0, is: an electrician claims that no more than 10% of homes in the city are not up to the current electric codes. ________________________________________ Select the correct answer below: ________________________________________ the probability that the electrician thinks that no more than 10% of homes in the city are not up to the current electrical codes when, in fact, there really are no more than 10% that are not up to the current electric codes the probability that the electrician thinks that more than 10% of the homes in the city are not up to the current electrical codes when, in fact, there really are more than 10% of the homes that do not meet the current electric codes the probability that the electrician thinks that more than 10% of the homes in the city are not up to the current electrical codes when, in fact, at most 10% of the homes in the city are not up to the current electric codes the probability that the electrician thinks that no more than 10% of homes in the city are not up to the current electrical codes when, in fact, more than 10% of the homes are not up to the current electric codes A consumer protection company is testing a towel rack to see how much force it can hold. The null hypothesis, H0, is that the rack can hold at least 100 pounds of force. The alternative hypothesis, Ha, is that the rack can hold less than 100pounds of force. What is a Type I error in this scenario? ________________________________________ Select the correct answer below: ________________________________________ The researchers conclude that the rack holds at least 100 pounds of force, but the rack actually holds less than 100 pounds. The researchers conclude that the rack holds less than 100 pounds of force, but the rack actually holds more than 100 pounds. The researchers conclude that the rack holds less than 100 pounds of force, and the rack actually holds less than 100 pounds. The researchers conclude that the rack holds more than 100 pounds of force, and the rack actually holds more than 100 pounds. Suppose the null hypothesis, H0, is: the mean age of the horses on a ranch is 6 years. What is the Type II error in this scenario? You think the mean age of the horses on a ranch is 6 years when, in fact, it is. You think the mean age of the horses on a ranch is 6 years when, in fact, it is not. You think the mean age of the horses is not 6 years when, in fact, it is. You think the mean age of the horses is not 6 years when, in fact, it is not. Determine the Type I error if the null hypothesis, H0, is: a wooden ladder can withstand weights of 250 pounds and less. ________________________________________ Select the correct answer below: ________________________________________ You think the ladder can withstand weight of 250 pounds and less when, in fact, it cannot. You think the ladder cannot withstand weight of 250 pounds and less when, in fact, it really can. You think the ladder can withstand weight of 250 pounds and less when, in fact, it can. You think the ladder cannot withstand weight of 250 pounds and less when, in fact, it cannot. Which of the following answers give valid null and alternative hypotheses for a hypothesis test? Select all correct answers. H0: μ>15; Ha: μ≤15 H0: μ≥15; Ha: μ<15 H0: μ=15; Ha: μ≠15 H0: μ≠15; Ha: μ=15 A mattress store advertises that their beds last at least 5 years, on average. A consumer group thinks that they do not last that long and wants to set up a hypothesis test. If μ denotes the average time, in years, that the mattresses last, what are the null and alternative hypotheses in this situation? ________________________________________ Select the correct answer below: ________________________________________ H0: μ≥5; Ha: μ<5 H0: μ≤5; Ha: μ>5 H0: μ>5; Ha: μ≤5 H0: μ≥5; Ha: μ≤5 H0: μ≤5; Ha: μ≥5 A mechanic wants to show that more than 44% of car owners do not follow a normal maintenance schedule. Identify the null hypothesis, H0, and the alternative hypothesis, Ha, in terms of the parameter p. ________________________________________ Select the correct answer below: ________________________________________ H0: p≤0.44; Ha: p>0.44 H0: p<0.44; Ha: p≥0.44 H0: p>0.44; Ha: p≤0.44 H0: p≥0.44; Ha: p<0.44 Which of the following results in a null hypothesis p≤0.69 and alternative hypothesis p>0.69? ________________________________________ Select the correct answer below: ________________________________________ A mechanic wants to show that the percentage of car owners that follow a normal maintenance schedule is not 69%, contrary to a study that found that the percentage was 69%. A mechanic wants to show that more than 69% of car owners follow a normal maintenance schedule, contrary to a study that found that the percentage was at most 69%. A mechanic wants to show that at most 69% of car owners follow a normal maintenance schedule, contrary to a study that found that the percentage was more than 69%. A mechanic wants to show that less than 69% of car owners follow a normal maintenance schedule, contrary to a study that found that the percentage was at least 69%. A city wants to show that the mean number of public transportation users per day is more than 5,575. Identify the null hypothesis, H0, and the alternative hypothesis, Ha, in terms of the parameter μ. ________________________________________ Select the correct answer below: ________________________________________ H0: μ≥5,575; Ha: μ<5,575 H0: μ<5,575; Ha: μ≥5,575 H0: μ≤5,575; Ha: μ>5,575 H0: μ>5,575; Ha: μ≤5,575 In 2015, the CDC analyzed whether American adults were eating enough fruits and vegetables. Let the mean cups of vegetables adults eat in a day be μ. If the analysts wanted to know if adults were eating, on average, at least the recommended 2 cups of vegetables a day, what are the null and alternative hypothesis? ________________________________________ Select the correct answer below: ________________________________________ H0: μ<2; Ha: μ>2 H0: μ<2; Ha: μ≥2 H0: μ>2; Ha: μ≥2 H0: μ≥2; Ha: μ<2 H0: μ=2; Ha: μ≠2 H0: μ=2; Ha: μ≥2 Which of the following results in a null hypothesis p≤0.47 and alternative hypothesis p>0.47? ________________________________________ Select the correct answer below: ________________________________________ An online article claims that less than 47% of internet users participate in social media. A group of researchers think this is incorrect, and they want to show that at least 47% of internet users participate in social media. An online article claims that at least 47% of internet users participate in social media. A group of researchers think this is incorrect, and they want to show that less than 47% of internet users participate in social media. An online article claims that more than 47% of internet users participate in social media. A group of researchers think this is incorrect, and they want to show that at most 47% of internet users participate in social media. An online article claims that at most 47% of internet users participate in social media. A group of researchers think this is incorrect, and they want to show that more than 47% of internet users participate in social media. A hospital claims that the mean wait time for emergency room patients is at least 55 minutes. A group of researchers believe that this is not accurate, and want to show that the mean wait time is less than 55 minutes. Identify the group's null hypothesis, H0, and the alternative hypothesis, Ha, in terms of the parameter μ. ________________________________________ Select the correct answer below: ________________________________________ H0: μ>55; Ha: μ≤55 H0: μ<55; Ha: μ≥55 H0: μ≥55; Ha: μ<55 H0: μ≤55; Ha: μ>55 Which graph below corresponds to the following hypothesis test? H0:μ≤16.9, Ha:μ>16.9 Is the test below left-, right-, or two-tailed? H0:p=0.39, Ha:p≠0.39 ________________________________________ Select the correct answer below: ________________________________________ The hypothesis test is two-tailed. The hypothesis test is left-tailed. The hypothesis test is right-tailed. Which type of test is used in the following scenario: A manufacturer claims that the mean lifetime of a new cutting blade is 2 years. Fourteen blades are randomly selected and their lifetime is measured. Assume the population follows a normal distributions with known standard deviation. The test is right-tailed because the alternative hypothesis is Ha:μ>2. The test is left-tailed because the alternative hypothesis is Ha:μ<2. The test is right-tailed because the alternative hypothesis is Ha:μ<2. The test is left-tailed because the alternative hypothesis is Ha:μ>2. The test is two-tailed because the alternative hypothesis is Ha:μ≠2. Which graph below corresponds to the following hypothesis test? H0:p≤8.1, Ha:p>8.1 Suppose the null hypothesis, H0, is: doctors believe that a surgical procedure is successful at least 80% of the time. Which of the following gives β, the probability of a Type II error? ________________________________________ Select the correct answer below: ________________________________________ the probability that doctors think the surgical procedure is successful less than 80% of the time when, in fact, it really is successful less than 80% of the time the probability that doctors think the surgical procedure is successful less than 80% of the time when, in fact, it is successful at least 80% of the time the probability that doctors think the surgical procedure is successful at least 80% of the time when, in fact, it is not the probability that doctors think the surgical procedure is successful at least 80% of the time when, in fact, it is Determine the Type I error if the null hypothesis, H0, is: researchers claim that 65% of college students will graduate with debt. ________________________________________ Select the correct answer below: ________________________________________ The researchers think that greater than or less than 65% of college students will graduate with debt when, in fact, 65% will graduate with debt. The researchers think that 65% of college students will graduate with debt when, in fact, more or less than 65%of college students will graduate with debt. The researchers think that 65% of college students will graduate with debt when, in fact, 65% of college students really will graduate with debt. The researchers think that greater than or less than 65% of college students will graduate with debt when, in fact, greater than or less than 65% of college students will graduate with debt. Suppose the null hypothesis, H0, is: a sporting goods store claims that at least 70% of its customers do not shop at any other sporting goods stores. What is β, the probability of a Type II error in this scenario? the probability that the sporting goods store thinks that less than 70% of its customers do not shop at any other sporting goods stores when, in fact, less than 70% of its customers do not shop at any other sporting goods stores the probability that the sporting goods store thinks that at least 70% of its customers do not shop at any other sporting goods stores when, in fact, at least 70% of its customers do not shop at any other sporting goods stores the probability that the sporting goods store thinks that less than 70% of its customers do not shop at any other sporting goods stores when, in fact, at least 70% of its customers do not shop at any other sporting goods stores the probability that the sporting goods store thinks that at least 70% of its customers do not shop at any other sporting goods stores when, in fact, less than 70% of its customers do not shop at any other sporting goods stores Determine the Type II error if the null hypothesis, H0, is: the mean price of a loaf of bread is $1.67. ________________________________________ Select the correct answer below: ________________________________________ You think the mean price of a loaf of bread is $1.67 when, in fact, it is. You think the mean price of a loaf of bread is not $1.67 when, in fact, it is. You think the mean price of a loaf of bread is not $1.67 when, in fact, it is not. You think the mean price of a loaf of bread is $1.67 when, in fact, it is not. Which of the following results in a null hypothesis μ≥31 and alternative hypothesis μ<31? ________________________________________ Select the correct answer below: ________________________________________ A hospital claims that the mean wait time for emergency room patients is at most 31 minutes. A group of researchers think this is inaccurate and wants to show that the mean wait time is more than 31 minutes. A hospital claims that the mean wait time for emergency room patients is more than 31 minutes. A group of researchers think this is inaccurate and wants to show that the mean wait time is less than 31 minutes. A hospital claims that the mean wait time for emergency room patients is at least 31 minutes. A group of researchers think this is inaccurate and wants to show that the mean wait time is less than 31 minutes. A hospital claims that the mean wait time for emergency room patients is 31 minutes. A group of researchers think this is inaccurate and wants to show that the mean wait time is not 31 minutes. Which of the following results in a null hypothesis μ≤7 and alternative hypothesis μ>7? ________________________________________ Select the correct answer below: ________________________________________ A study wants to show that the mean number of hours of sleep the average person gets each day is at least 7. A study wants to show that the mean number of hours of sleep the average person gets each day is 7. A study wants to show that the mean number of hours of sleep the average person gets each day is more than 7. A study wants to show that the mean number of hours of sleep the average person gets each day is at most 7. A commonly cited study says that 49% of students study less than 5 hours per week. A researcher does not think this is accurate and wants to show that the percentage of students that study less than 5 hours per week is not equal to 49%. Identify the null hypothesis, H0, and the alternative hypothesis, Ha, in terms of the parameter p. ________________________________________ Select the correct answer below: ________________________________________ H0: p≠0.49; Ha: p=0.49 H0: p≥0.49; Ha: p<0.49 H0: p=0.49; Ha: p≠0.49 H0: p≤0.49; Ha: p>0.49 Horace, a golfer, claims that his drive distance is less than 225 meters, on average. Several of his friends do not believe him, so he decides to do a hypothesis test, at a 10% significance level, to persuade them. He hits 23 drives. The mean distance of the sample drives is 210 meters. Horace knows from experience that the standard deviation for his drive distance is 14meters. H0: μ≥225; Ha: μ<225 α=0.1 (significance level) What is the test statistic (z-score) of this one-mean hypothesis test, rounded to two decimal places? ________________________________________ What is the test statistic (z-score) of this one-mean hypothesis test, rounded to two decimal places? ________________________________________ [Show Less]
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