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The diameters of bearings used in an aircraft landing gear assembly have a standard deviation of...

The diameters of bearings used in an aircraft landing gear assembly have a standard deviation of ? = 0.0020 cm. A random sample of 15 bearings has an average diameter of 8.2535 cm. Please (a) test the hypothesis that the mean diameter is 8.2500 cm using a two-sided alternative and ? = 0.05; (b) find P-value for the test; and (c) construct a 95% two-sided confidence interval on the mean diameter.

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