(a) Test the hypothesis Hou=1.5 versus H₁:u #1.5 using α = 0.01. (b) What is the P-value for the test in part (a)? (c) Compute the power of the test if the true mean diameter is 1.495 inches. (d) What sample size would be required to detect a true mean diameter as low as 1.495 inches 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 diameter.