Question: Consider an in-control process with mean = 25 and = 1.0. Suppose that subgroups of size 5 are used with control limits

Consider an in-control process with mean μ = 25 and σ = 1.0. Suppose that subgroups of size 5 are used with control limits μ ± 3σ/√n, and centerline at

μ. Suppose that a shift occurs in the mean, and the new mean is μ = 26.5.

(a) What is the average number of samples required

(following the shift) to detect the out-of-control situation?

(b) What is the standard deviation of the number of runs required?

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