Suppose that the population of heights of female college students is approximately normally distributed with the mean m of 67.16 inches and standard deviation s of 4.82 inches. A random sample of 92 heights is obtained. Show all work.
A) Determine P(X > 67.75)
B) Determine the mean and standard error of the x-bar distribution
C) Determine P(x-bar> 67.75)
D) Why is the formula needed to solve (A) different than (C)?