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.
(a) Test the hypothesis that the mean inside bearing diameter is 8.25 cm. Use a two-sided alternative and a = 0.05.
(b) Find the P-value for this test.
(c) Construct a 95% two-sided confidence interval on the mean bearing diameter.