MATH 302 Final Exam 1 -
Question and Answers
AMU
Math 302 – Final
Fall 2018
25/25
1. A company operates four machines during three shifts each day.
... [Show More] From production
records, the data in the table below were collected. At the .05 level of significance
test to determine if the number of breakdowns is independent of the shift.
Machine
Shift A B C D
1 41 20 12 16
2 31 11 9 14
3 15 17 16 10
A. The number of breakdowns is dependent on the shift, because the test value
11.649 is less than the critical value of 12.592.
B. The claim that the number of breakdowns is independent of the shift cannot
be rejected, because the test value 11.649 is less than the critical value of
12.592
C. The number of breakdowns is dependent on the shift, because the p-value is .07.
D. The number of breakdowns is independent of the shift, because the test value
12.592 is greater than the critical value of 11.649.
2. The data presented in the table below resulted from an experiment in which
seeds of 5 different types were planted and the number of seeds that germinated
within 5 weeks after planting was recorded for each seed type. At the .01 level of
significance, is the proportion of seeds that germinate dependent on the seed type?
Seed Type
Observed Frequencies
Germinated Failed to Germinate
1 31 7
2 57 33
3 87 60
4 52 44
5 10 19
A. Yes, because the test value 16.86 is greater than the critical value of 13.28
B. Yes, because the test value 16.86 is less than the critical value of 14.86
C. No, because the test value of 16.86 is greater than the critical value of 13.28
D. No, because the test value of 13.28 is less than the critical value of 16.86
3. An agent for a residential real estate company in a large city would like to be able
to predict the monthly rental cost of apartments based on the size of the
apartment. Data for a sample of 25 apartments in a particular neighborhood are
provided in the worksheet Apartments in the Excel workbook Apartments.xlsx.
Apartments.xlsx
At the .05 level of significance determine if the correlation between rental cost and
apartment size is significant.
A. Yes, there is a statistically significant linear relationship between monthly rental
cost and apartment size, because the sample correlation coefficient 0.85 exceeds
0.50.
B. Yes, there is a statistically significant linear relationship between monthly
rental cost and apartment size, because the p-value for this test is less than [Show Less]