Question: Assume that you are using Western Electric Sensitizing Rule 2, Two of three consecutive points outside the two-sigma warning limits but still inside the control

Assume that you are using Western Electric Sensitizing Rule 2, Two of three consecutive points outside the two-sigma warning limits but still inside the control limits to monitor x chart with = 10 and 5 = 1. The Average Run Length (ARL) of the process is observed to be 50. Assume that the standard deviation of the process is stable. (a) What ARL do you expect to see for the process if it is in control? (b) Estimate the new mean of the process. Assume that you are using Western Electric Sensitizing Rule 2, Two of three consecutive points outside the two-sigma warning limits but still inside the control limits to monitor x chart with = 10 and 5 = 1. The Average Run Length (ARL) of the process is observed to be 50. Assume that the standard deviation of the process is stable. (a) What ARL do you expect to see for the process if it is in control? (b) Estimate the new mean of the process
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