A decision rule is given here. Assume the quality characteristic follows a normal distribution, and the control chart has two-sigma control limits, and the sample size is n = 4 Decision Rule: If one or more of the next 3 samples yield values of the sample average that fall outside the control limits, conclude that the process is out of control. (a) What is the Type-I error probability for this decision rule? (b) If the mean of the quality characteristic shifts one process standard deviation, and remains there later, what is the Type-II error probability associated with the decision rule?

A decision rule is given here. Assume the quality characteristic follows a normal distribution, and the control chart has two-sigma control limits, and the sample size is n = 4 Decision Rule: If one or more of the next 3 samples yield values of the sample average that fall outside the control limits, conclude that the process is out of control. (a) What is the Type-I error probability for this decision rule? (b) If the mean of the quality characteristic shifts one process standard deviation, and remains there later, what is the Type-II error probability associated with the decision rule?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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