The inside diameters of bearings used in an aircraft landing gear assembly are known to have a standard deviation of ? = 0.002 cm. A random sample of 15 bearings has an average inside diameter of 8.2535 cm. The hypothesis to be tested is that the mean inside bearing diameter is 8.25 cm. Use a two-sided alternative and ?=0.05.
(1) Find the P-value for this test. (2) Test the hypothesis. (3) Construct a 95% two-sided confidence interval on mean bearing diameter.
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