Question: Suppose that an X control chart with 2-sigma limits is used to control a process. Find the probability that a false out-of-control signal is produced

Suppose that an X̅ control chart with 2-sigma limits is used to control a process. Find the probability that a false out-of-control signal is produced on the next sample. Compare this with the corresponding probability for the chart with 3-sigma limits and discuss. Comment on when you would prefer to use 2-sigma limits instead of 3-sigma limits.

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