Suppose that a process is in control, and 3 sigma control limits are in use on an X chart The subgroup size is 4 Let the mean shift by 1 5 What is the probability that this shift remains undetected for three consecutive samples What would its probability be if 2 sigma control limits were used ...

Let p denote the probability that a point plots outside of the control limits ...

Suppose that a process is in control, and 3-sigma control limits are in use on an X

Question:

Suppose that a process is in control, and 3-sigma control limits are in use on an X̅ chart. The subgroup size is 4. Let the mean shift by 1.5σ. What is the probability that this shift remains undetected for three consecutive samples? What would its probability be if 2-sigma control limits were used?

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