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Question: How tall? The heights of young men follow a Normal distribution with mean 69.3 inches and standard deviation 2.8 inches. The heights of young women follow a Normal distribution with mean 64.5 inches and standard deviation 2.5 inches. Suppose we select independent SRSs of 16 young men and 9 young women and calculate the sample mean heights x¯_M and x¯_W.

(a) What is the shape of the sampling distribution of x¯_M - x¯_W? Why?

(b) Find the mean of the sampling distribution. Show your work.

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Statistics and Probability, Statistics

Category:- Statistics and Probability
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