Question

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 1inch. (a) Test the hypotheses 1.5 versus 1.5 using 0.01 The true mean hole diameter Entry field with correct answer significantly different from 1.5 in. at alpha equals 0.01. (b) What is the P-value for the test in part (a)? P-value = Entry field with incorrect answer now contains modified data Round your answer to two decimal places (e.g. 98.76). (c) Compute the power of the test if the true mean diameter is 1.495 inches. Power of the test = Entry field with incorrect answer now contains modified data Round your answer to two decimal places (e.g. 98.76). (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 0.89? Entry field with incorrect answer now contains modified data bearings

Answer 1

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