The human resources director of a Fortune 500 company recently asked her staff to conduct a study of the airline miles traveled by executives of the company during the most recent calendar year. The analyst assigned to the project randomly sampled 20 male executives and 20 female executives. Of particular interest to the HR director is whether males have greater variability in miles flown than females. The following statistics were computed from the samples:

Based on these data, what should the HR director conclude if an alpha level equal to 0.05 is used?

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Males Females Mean Miles St. Deviation Miles Sample Size 73,201 2,636 20 67,890 1,513 20