Question: Assume that the population of heights of male college students is approximately normally distributed with mean m of 68 inches and standard deviation s of 3.75 inches. A random sample of 16 heights is obtained.

a. Describe the distribution of x, height of the college student.

b. Find the proportion of male college students whose height is greater than 70 inches.

c. Describe the distribution of , the mean of samples of size 16.

d. Find the mean and standard error of the distribution.

e. Find P ( > 70)

f. Find P ( < 67)