It has been claimed that the mean population height of Americans is 175 with a population standard deviation, sigma = 2.5. Assume that a sample of 400 Americans yields a mean height of 176 centimeters. Use a level of significance of sigma = 0.05. a) Use classical hypothesis testing to determine whether the mean height of Americans has changed from 175 centimeters. b) Compute the p-value. Interpret. c) Construct a two-sided 95% confidence interval. Interpret. Show all work and Solution s thanks!.