Question: A control chart with a 3 sigma management limit line is used to manage the variation in the process mean whose quality characteristics follow

A control chart with a 3\sigma management limit line is used to manage the variation in the process mean whose quality characteristics follow a normal distribution. There are two decision-making alternatives to understand the abnormal state of the process as follows.
Alternative 1: If at least one of the seven points in a row deviates from the control limit, it is said to be out of control.
Alternative 2: If all seven consecutive points are skewed in one direction from the center line, it is said to be out of control.
Calculate the producer risk for these two alternatives.
 A control chart with a 3\sigma management limit line is used

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