Suppose that the population of heights of female college students is approximately normally distributed with mean m of 64.37 inches and standard deviation s of 6.26 inches. A random sample of 74 heights is obtained. Show all work.
(A) Find p(x>65.25)
(B) Find the mean and standard error of the distribution
(C) Find p(~×>65.25)
(D) Why is the formula required to solve (A) different than (C)?