Question: Consider an X control chart with = 2.466, UCL = 37.404, LCL = 30.780, and n = 5. Suppose that the mean shifts to

Consider an X̅ control chart with σ̂ = 2.466, UCL = 37.404, LCL = 30.780, and n = 5. Suppose that the mean shifts to 36.

(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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