Question: Consider an X control chart with = 1.40, UCL = 21.71, LCL = 18.29, and n = 6. Suppose that the mean shifts to

Consider an X̅ control chart with σ̂ = 1.40, UCL = 21.71, LCL = 18.29, and n = 6. Suppose that the mean shifts to 17.

(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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