Assume that the population of heights of male college students is approximately normally distributed with mean m of 70.63 inches and standard deviation s of 6.47 inches. A random sample of 88 heights is obtained. Show all work.
A) Find P(x > 72.25)
B) Find the mean and standard error of the x bar distribution
C) Find P(x bar > 72.25)
D) Why is the formula required to solve (A) different than (C)?