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A process is in control and normally distributed with ? control chart limits of 45 and...

A process is in control and normally distributed with ? control chart limits of 45 and 15. The subgroup size is 4. Suppose the process variance suddenly triples while process mean remains unchanged. What is the probability that the first subsequent subgroup average will fall outside the control limits? What are the ? probability and ARL?

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note that ...P(Z<z) has been calculated from the standard Normal table

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