10.45 Shipments of meat, meat by-products, and other ingredients are mixed together in several filling lines at a pet food canning factory. Operations managers suspect that, although the mean amount filled per can of pet food is usually stable, the variability of the cans filled in line A is greater than that of line B. The following data from a sample of 8-ounce cans is as followsLine A Line B X 8.005 7.997 S 0.012 0.005 n 11 16 Males Females X 40.26 36.85 S 13.35 9.42 n 100 72 Source: Data extracted from T. Broome and D. Havelka, “Determinants of Computer Anxiety in Business Students,” The Review of Business Information Systems, Spring 2002, 6(2), pp. 9–16. a. At the 0.05 level of significance, is there evidence of a difference in the variability of the computer anxiety experienced by males and females? b. Interpret the p-value. c. What assumption do you need to make about the two populations in order to justify the use of the F test? d. Based on (a) and (b), which t test defined in Section 10.1 should you use to test whether there is a significant difference in mean computer anxiety for female and male students? a. At the 0.05 level of significance, is there evidence that the variance in line A is greater than the variance in line B? b. Interpret the p-value. c. What assumption do you need to make in (a) about the two populations in order to justify your use of the F test?
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