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...

7

Extracted text: 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 o = 0.01 inch. (a) Test the hypotheses Ho:µ = 1.5 versus H:µ # 1.5 using a = 0.01. The true mean hole diameter v significantly different from 1.5 in. at a = 0.01. (b) What is the P-value for the is is not (a)? P-value = 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 = 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 0.91? bearings Statistical Tables and Charts 89°F Cloudy eSC 7. 2. JL H K F Izx || C V. B.


Extracted text: 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 o = 0.01 inch. (a) Test the hypotheses Ho:µ = 1.5 versus Hj: µ # 1.5 using a = 0.01. The true mean hole diameter significantly different from 1.5 in. at a = 0.01. (b) What is the P-value for the test in part (a)? P-value = i 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 = 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 0.91? i bearings Statistical Tahles and Charts 89°F 10:47 A 21-Apr Cloudy 17 13 ) %23 24 96 7. 3 Y. K F