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A manager of a job placement company wanted to investigate the job offers recent MBAs were obtaining depending on whether they majored in film or economy. In particular, he wanted to know whether film majors were being offered higher salaries than economy majors. She randomly sampled 25 recent graduates of each major. Can we infer that film majors obtain higher salary offers than do economy majors?
FSalary ESalary
86792 56276
75155 47510
65948 58925
29392 78704
96382 62553
80644 81931
51389 30867
61955 49091
63573 48843
61228 73361
51836 36956
30620 63627
73356 71069
84186 40203
79782 97097
29523 49442
80645 75188
76125 59854
62531 79816
77073 51943
86705 35272
70286 60631
63196 63567
64358 69423
47915 68421
1. State the correct hypotheses for this question (use a = 0.01).
2. Conduct a full F-test for the equality of variances. State the hypothesis, calculate the test statistic, make a decision, and draw a conclusion. State the conditions necessary to complete the original hypothesis test.
3. Make a decision whether or not to reject or not reject the null hypothesis.
4. Answer the question: can we infer that film majors obtain higher salary offers than do economy majors?
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