Question: Consider an control chart with UCL 17.98, LCL 12.31, and n 4. Suppose that the mean shifts to 12.8. X r

Consider an control chart with UCL 

17.98, LCL  12.31, and n  4. Suppose that the mean shifts to 12.8.

X r  3.895, X r  0.39, X ˆ  2.922, X X

(a) What is the probability that this shift will be detected on the next sample?

(b) What is the ARL after the shift?

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