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A bearing used in an automotive application is supposed to have a nominal inside diameter of...

A bearing used in an automotive application is supposed to have a nominal inside diameter of 3.81 cm. A random sample of 25 bearings is selected and the average inside diameter of these bearings is 3.8037 cm. Bearing diameter is known to be normally distributed with standard deviation σ = 0.03 cm. (a) Compute a 95%-confidence interval for the mean inside diameter. (b) Test the hypothesis H0 : µ = 3.81 versus H1 : µ 6= 3.81 using α = 0.01. What is the P-value for the test?

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