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amamoto industry produces bearing for Mazda Motor Corporation. The precision of nominal iameter of bearing is very important for its successful functioning. The bearing is supposed to ave a nominal inside diameter of 2.7 cm. Company randomly selected ten bearings and nominal iameter measured as shown in the table below. #no Nominal #no Nominal

amamoto industry produces bearing for Mazda Motor Corporation. The precision of nominal iameter of bearing is very important for its successful functioning. The bearing is supposed to ave a nominal inside diameter of 2.7 cm. Company randomly selected ten bearings and nominal iameter measured as shown in the table below. #no Nominal #no Nominal

Mathematics For Machine Technology
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter48: Applications Of Formulas To Spur Gears
Section: Chapter Questions
Problem 41A
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Problem 6 Yamamoto industry produces bearing for Mazda Motor Corporation. The precision of nominal diameter of bearing is very important for its successful functioning. The bearing is supposed to have a nominal inside diameter of 2.7 cm. Company randomly selected ten bearings and nominal diameter measured as shown in the table below. #no Nominal #no Nominal diameter (cm) diameter (cm) 1 2.82 2.69 2 2.65 7 2.58 3 2.75 8 2.64 4 2.63 2.66 2.76 10 2.75 Assume that nominal diameter of bearing is normally distributed and the population standard deviation is similar to sample standard deviation. a. Based on hypothesis test, check whether there is evidence to support the claim that the nominal diameter of bearing is equal to 2.75 cm at a equal to 0.06? Clearly show all the necessary steps for the hypothesis test. b. Analyze the result in part (a) with respect to appropriate bounds on bearing nominal diameter and compare the result with the result that you have obtained in (a).
Transcribed Image Text:Problem 6 Yamamoto industry produces bearing for Mazda Motor Corporation. The precision of nominal diameter of bearing is very important for its successful functioning. The bearing is supposed to have a nominal inside diameter of 2.7 cm. Company randomly selected ten bearings and nominal diameter measured as shown in the table below. #no Nominal #no Nominal diameter (cm) diameter (cm) 1 2.82 2.69 2 2.65 7 2.58 3 2.75 8 2.64 4 2.63 2.66 2.76 10 2.75 Assume that nominal diameter of bearing is normally distributed and the population standard deviation is similar to sample standard deviation. a. Based on hypothesis test, check whether there is evidence to support the claim that the nominal diameter of bearing is equal to 2.75 cm at a equal to 0.06? Clearly show all the necessary steps for the hypothesis test. b. Analyze the result in part (a) with respect to appropriate bounds on bearing nominal diameter and compare the result with the result that you have obtained in (a).
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