A bearing used in an automotive application is required to have a nominal inside diameter of 1.5 inches. A random sample of 25 bearings is selected and the average inside diameter of these bearings is 1.4975 inches. Bearing diameter is known to be normally distributed with standard deviation 6 = 0.01 inch. (a) Test the hypotheses Ho: = 1.5 versus H₁: The true mean hole diameter (b) What is the P-value for the test in part (a)? P-value = i 1.5 using a = 0.01. significantly different from 1.5 in. at a = 0.01. (c) Compute the power of the test if the true mean diameter is 1.495 inches. Power of the test = i i Round your answer to two decimal places (e.g. 98.76). bearings (d) What sample size would be required to detect a true mean diameter as low as 1.495 inches if we wanted the power of the test to be at least 0.87? Round your answer to two decimal places (e.g. 98.76). Statistical Tables and Charts