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. From production records, the data in the ta... ble 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 More]
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