Human heights are known to be normally distributed.Men have a mean height of 70 inches and females a mean height of 64 inches.Both have a population standard deviation of 3 inches.

(a - 2 points) Find the 1^st Quartile (Q1) of the male height distribution

(b - 2 points) What is the probability that a randomly selected female is above 68 inches height?

(c - 2 points) Assume a random sample of 100 males is selected. What is the standard deviation of the sample mean? See pages 206-207 in your text.

(d - 2 points) For a sample size of 100 males, find the probability the sample mean is above 72 inches?