Statistics Ch 6 Exam - Questions and Answers What's wrong with the following statement? "Because the digits 0, 1, 2, . . . , 9 are the normal results
... [Show More] from lottery drawings, such randomly selected numbers have a normal distribution." Since the probability of each digit being selected is equal, lottery digits have a uniform distribution, not a normal distribution. A normal distribution is informally described as a probability distribution that is "bell-shaped" when graphed. Draw a rough sketch of a curve having the bell shape that is characteristic of a normal distribution. "bell-shaped" What requirements are necessary for a normal probability distribution to be a standard normal probability distribution? The mean and standard deviation have the values of mu equals 0 and sigma equals 1. Which of the following is NOT a descriptor of a normal distribution of a random variable? The graph is centered around 0 Which of the following is NOT a requirement for a density curve? The graph is centered around 0. Which of the following does NOT describe the standard normal distribution? The graph is uniform. Finding probabilities associated with distributions that are standard normal distributions is equivalent to _______. finding the area of the shaded region representing that probability. The notation P(zless thana) denotes _______. the probability that the z-score is less than a. Which of the following would be information in a question asking you to find the area of a region under the standard normal curve as a solution? A distance on the horizontal axis is given What does the notation z Subscript alpha indicate? The expression z Subscript alpha denotes the z score with an area of alpha to its right. Pulse rates of women are normally distributed with a mean of 77.5 beats per minute and a standard deviation of 11.6 beats per minute. Answer the following questions. What are the values of the mean and standard deviation after converting all pulse rates of women to z scores using z equals StartFraction left parenthesis x minus mu right parenthesis Over sigma EndFraction? mu equals 0 sigma equals 1 The z scores are numbers without units of measurement. What is the difference between a standard normal distribution and a nonstandard normal distribution? The standard normal distribution has a mean of 0 and a standard deviation of 1, while a nonstandard normal distribution has a different value for one or both of those parameters. Computers are commonly used to randomly generate digits of telephone numbers to be called when conducting a survey. Can a nonstandard normal distribution be used to find the probability that when one digit is randomly generated, it is less than 3? Why or why not? What is the probability of getting a digit less than 3? A nonstandard normal distribution cannot be used because randomly generated digits have a uniform distribution meaning that each number is equally likely to be chosen. The probability of getting a digit less than 3 is 0.3000. Which of the following is not true? A z-score is an area under the normal curve. Where would a value separating the top 15% from the other values on the graph of a normal distribution be found? the right side of the horizontal scale of the graph What conditions would produce a negative z-score? [Show Less]