Consider the approximately normal population of heights of male college students with mean

  69 inches and standard deviation   4 inches. A random sample of 16 heights is obtained.

a. Describe the distribution of x, height of male college students.

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

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

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

e. Find P(x  70).

f. Find P(x  67).