Solved: Suppose that an chart is used to control a normally distributed process and that

Chapter 16, Problem 16-63

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Suppose that an chart is used to control a normally distributed process and that samples of size n are taken every n hours and plotted on the chart, which has k-sigma limits. (a) Find a general expression for the expected number of samples and time that will be taken until a false action signal is generated. (b) Suppose that the process mean shifts to an out-ofcontrol state, say . Find an expression for the expected number of samples that will be taken until a false action is generated.

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