Suppose that the population of heights of female college students is approximately normally distributed with mean m of 64.64 inches and standard deviation s of 6.02 inches. A random sample of 98 heights is obtained. Show all work.
(A) Find P(x>63.75)
(B) Find the mean and standard error of the distribution
(C) Find P(xbar>63.75)
(D) Why is the formula required to solve (A) different than (C)?