Question: 17.6 Consider an in-control process with = 36 and = 1.0. Suppose that subgroups of size 6 are used with control limits

17.6 Consider an in-control process with μ = 36 and

σ = 1.0. Suppose that subgroups of size 6 are used with control limits μ ± 3σ/

√

n, with the centerline at

μ. If a shift occurs in the mean, and the new mean is

μ = 37.5.

(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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