Please show all work and necessary steps.

Suppose men's height is normally distributed with a standard deviation 2.8 inches. You took a sample of 37 individuals. The average height for this sample is 70 inches. a. Test the hypothesis that this sample came from a population with an average height of 68.6 inches. What is your conclusion if a = .05 b. Your friend believes that you took the sample from a poor population and their height is below 68.6 inches. Is your friend correct? What is your conclusion? Use a = .05 (6+4)