Question: Consider an X control chart with r = 2.25, UCL = 17.40, LCL = 12.79, and n = 3. Suppose that the mean shifts to

Consider an X̅ control chart with r̅ = 2.25, UCL = 17.40, LCL = 12.79, and n = 3. Suppose that the mean shifts to 13.

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

(b) What is the ARL after the shift?

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