The heights of young males are known to have a population mean of 69.7 inches and a population standard deviation of 3.5 inches. Samples of young males are randomly selected so that there are exactly 49 males in each sample. For each sample, the mean height is computed.

a) (5 points) Describe the shape of the sampling distribution of , the sample mean height. You need to check the assumptions.

d) (4 points) Find the probability that the mean height of a sample of 49 males is greater than 70 inches.