(a) Test the hypotheses Ho: µ = 22.5 versus H₁: μ 22.5, using α = 0.05. Find the P-value. (b) Check the assumption that interior temperature is normally distributed. (c) Compute the power of the test if the true mean interior temperature is as high as 22.75. (d) What sample size would be required to detect a true mean interior temperature as high as 22.75 if you wanted the power of the test to be at least 0.9? (e) Explain how the question in part (a) could be answered by constructing a two-sided confidence interval on the mean interior temperature.