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

Consider an in-control process with μ = 36 and σ = 1.0.

Suppose that subgroups of size 6 are used with control limits with the centerline at μ. If a shift occurs in the mean, and the new mean is μ = 37.5.

1. What is the average number of samples required (following the shift) to detect the out-of-control situation?

2. What is the standard deviation of the number of runs required?