Question: Assume that the population of heights of female college students is approximately normally distributed with mean m of 65 inches and standard deviation s of 2.75 inches. A random sample of 15 heights is obtained. (10 pts)

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

b) Find the proportion of female college students whose height is greater than 67 inches.

c) Describe the distribution of \[\bar{x}\], the mean of samples of size 15.

d) Find the mean and standard error of the \[\bar{x}\] distribution

e) Find P ( \[\bar{x}\] > 67)

f) Find P ( \[\bar{x}\] < 64)