[15 pts + 2 bonus] It is claimed by a group of friends that their average height is 71.5 inches. The heights of 7 men that belong to this group of people are recorded. Given Man Height 68.5 N 70.3 71.7 A 69.0 70.4 6 71.0 7 66.7 a. Test the claim about the diet by computing a 96% confidence interval for the mean height. Assume the height to be approximately normally distributed. What can you conclude from the confidence interval?