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Population of Heights of Male College Students

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Assume that the population of heights of male college students is approximately normally distributed with mean m of 69.09 inches and standard deviation s of 4.71 inches. A random sample of 92 heights is obtained. Show all work.

(A) Find p(x>68.5)
(B) Find the mean and standard error of the distribution
(C) Find p(x with a line over it>68.5)
(D) Why is the formula required to solve (A) different than (C)?

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Solution Summary

The solution provides a 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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Assume that the population of heights of male college students is approximately normally distributed with mean m of 69.09 inches and standard deviation of 4.71 inches. A random sample of 92 heights is obtained. Show all work.
(A) Find p(x>68.5)
(B) Find the mean and standard error of the distribution
(C) ...

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