Suppose that the population of heights of female college students is approximately normally distributed with the mean m of 65 inches and standard deviation s of 2.75 inches. A random sample of 15 heights is obtained.
a) Explain the distribution of x, height of college student
b) Find out the proportion of female college students whose height is greater than 67 inches.
c) Explain the distribution of mean of samples of size 15.
d) Find out the mean and standard error of distribution
e) Find out P (>67)
f) Find out P (< 64)