3.56 Kane (1986) discusses the concentricity of an engine oil seal groove. Concentric- ity measures the cross-sectional coaxial relationship of two cylindrical features. In this case, he studies the concentricity of an oil seal groove and a base cylin- der in the interior of the groove. He measures the concentricity as a positive deviation using a dial indicator gauge. Historically, this process has produced an average concentricity of 5.6 with a standard deviation of 0.7. To monitor this process, he periodically takes a random sample of three measurements. If the average is greater than 6.8 or less than 4.3, he concludes that the process mean has shifted. Assume that the process mean is 5.6. a. Find the probability that on the next sample he concludes the process mean has shifted purely due to random chance. b. What did you assume in order to find this probability?

3.56 Kane (1986) discusses the concentricity of an engine oil seal groove. Concentric- ity measures the cross-sectional coaxial relationship of two cylindrical features. In this case, he studies the concentricity of an oil seal groove and a base cylin- der in the interior of the groove. He measures the concentricity as a positive deviation using a dial indicator gauge. Historically, this process has produced an average concentricity of 5.6 with a standard deviation of 0.7. To monitor this process, he periodically takes a random sample of three measurements. If the average is greater than 6.8 or less than 4.3, he concludes that the process mean has shifted. Assume that the process mean is 5.6. a. Find the probability that on the next sample he concludes the process mean has shifted purely due to random chance. b. What did you assume in order to find this probability?

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter6: Circles

Section6.2: More Angle Measures In The Circle

Problem 28E: From the veranda of a beachfront hotel, Manny is searching the seascape through his binoculars. A...

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