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Sampling Distribution of Sample Mean

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11. Assume that the population of heights of male college students is approximately normally distributed with mean m of 70.63 inches and standard deviation s of 6.47 inches. A random sample of 88 heights is obtained. Show all work.

(A) Find P(x > 72.25)
(B) Find the mean and standard error of the distribution
(C) Find P ( sample mean >72.25)
(D) Why is the formula required to solve (A) different than (C)?

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Solution Summary

The solution provides step by step method for the calculation of probability using the Z score. Formula for the calculation and Interpretations of the results are also included.

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