Suppose that the population of heights of male college students is approximately normally distributed with the mean m of 70.07 inches and standard deviation s of 6.48 inches. A random sample of 93 heights is obtained. Show all work.
(A) Determine P(x>70.75)
(B) Determine the mean and standard error of the xbar distribution
(C) Determine P(xbar>70.75)
(D) Why is the formula needed to solve (A) different than (C)?