An X chart uses samples of size 4. The center line is at 100, and the upper

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An X̅ chart uses samples of size 4. The center line is at 100, and the upper and lower 3-sigma control limits are at 106 and 94, respectively.

(a) What is the process σ?

(b) Suppose that the process mean shifts to 96. Find the probability that this shift is detected on the next sample.

(c) Find the ARL to detect the shift in part (b).

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Applied Statistics And Probability For Engineers

ISBN: 9781118539712

6th Edition

Authors: Douglas C. Montgomery, George C. Runger

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