8. A bearing used in an automotive application is supposed to have a nominal inside diameter of 1.5 inches. A random sample has an average inside diameter of these bearings is 1.497 inches. Bearing diameter is known to be normally distributed with standard deviationo = 0.01 inch. What sample size would be required to detect a true mean diameter as low as 1.49 inches if you wanted the power of the test to be at least 0.6?

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8. A bearing used in an automotive application
is supposed to have a nominal inside diameter
of 1.5 inches. A random sample has an average
inside diameter of these bearings is 1.497
inches. Bearing diameter is known to be
normally distributed with standard deviation o =
0.01 inch. What sample size would be required
to detect a true mean diameter as low as 1.49
inches if you wanted the power of the test to be
at least 0.6?
H0: µ = 1.5 versus
H1: µ # 1.5 *
Transcribed Image Text:8. A bearing used in an automotive application is supposed to have a nominal inside diameter of 1.5 inches. A random sample has an average inside diameter of these bearings is 1.497 inches. Bearing diameter is known to be normally distributed with standard deviation o = 0.01 inch. What sample size would be required to detect a true mean diameter as low as 1.49 inches if you wanted the power of the test to be at least 0.6? H0: µ = 1.5 versus H1: µ # 1.5 *
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