The height (in inches) of men at uh is assumed to have a normal distribution with a standard deviation of 3.6 inches. the height (in inches) of women at uh is also assumed to have a normal distribution with a standard deviation of 2.9 inches. a random sample of 49 men and 38 women yielded respective means of 68.3 inches and 64.6 inches. find the 90% confidence interval for the difference in the heights of men at uh and women at uh