Abearing 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 inch. (a) test the hypotheses versus using the true mean hole diameter significantly different from 1.5 in. at alpha equals 0.01. (b) what is the p-value for the test in part (a)