Question: Assume that the population of heights of female college students is approximately normally distributed with mean \(\mu \) of 67.26 inches and standard deviation \(\sigma \) of 5.96 inches. A random sample of 78 heights is obtained. Show all work.

(A) Find P( x > 67.50)
(B) Find the mean and standard error of the distribution
(C) Find P( \[\bar{x}\] > 67.50)
(D) Why is the formula required to solve (A) different than (C)?