Consider an in-control process with mean p = 25 and er = 1.0. Suppose that subgroups of

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Consider an in-control process with mean p = 25 and er = 1.0. Suppose that subgroups of size 5 are used with control limits, μ + 3σ/√n, and centerline at p. Suppose that a shift occurs in the mean, and thus the new mean is p = 26.5.

(a) What is the average number of samples required (following the shift) to detect the out-of-control situation?

(b) What is the standard deviation of the number of runs required?

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Probability & Statistics For Engineers & Scientists

ISBN: 9780130415295

7th Edition

Authors: Ronald E. Walpole, Raymond H. Myers, Sharon L. Myers, Keying

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