# Question

According to the General Accounting Office of the U.S. government, the average age of a male federal worker is 43.6 years and that of a male worker in the nonfederal sector is 37.3 years. Is there any difference in the variation of ages of men in the federal sector and men in the nonfederal sector? Suppose a random sample of 15 male federal workers is taken and the variance of their ages is 91.5.Suppose also a random sample of 15 male nonfederal workers is taken and the variance of their ages is 67.3.Use these data and α = .01 to answer the question. Assume ages are normally distributed.

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