# Population of Heights of Male College Students

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)?

https://brainmass.com/statistics/standard-deviation/population-of-heights-of-male-college-students-365361

#### Solution Preview

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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) ...

#### 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.