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Conduct a full f-test for the equality of variances

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Reference no: EM132849048

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?

Reference no: EM132849048

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