Question: An X chart uses a sample of size 3. The center line is at 200, and the upper and lower 3-sigma control limits are at

An X̅ chart uses a sample of size 3. The center line is at 200, and the upper and lower 3-sigma control limits are at 212 and 188, respectively.

(a) Estimate the process σ.

(b) Suppose that the process mean shifts to 195. Determine 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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a The difference UCL LCL 6 x 212 188 24 Therefore Therefore b P188 X ... View full answer

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