The heights of young men follow a Normal distribution with mean M = 69.3 inches and

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The heights of young men follow a Normal distribution with mean μM = 69.3305 0.200 = 20.0% 1526 inches and standard deviation σM = 2.8 inches. The heights of youngwomen follow a Normal distribution with mean μW=64.5 inches and standard deviation σW=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¯− x¯W ? Why?

b. Find the mean of the sampling distribution.

c. Calculate and interpret the standard deviation of the sampling distribution.

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Related Book For  book-img-for-question

The Practice Of Statistics

ISBN: 9781319113339

6th Edition

Authors: Daren S. Starnes, Josh Tabor

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