A study of thermal inertia properties of autoclaved aerated concrete used as a building material. Five samples of the material were tested in a structure, and the average interior temperature (C) reported were as follows: 23.0, 22.80, 22.10, 22.58, and 22.67. (a) Test the hypotheses H0: = 22.7 versus H1: 22.7, using = 0.05. Find the P-value. (b) Check the assumption that interior temperature is normally distributed. (c) Explain how the question in part (a) could be answered by constructing a two-sided confidence interval on the mean interior temperature.