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Suppose that a process is in control with mu = 14 and sigma = 2. An X^bar-control chart based on subgroups of size 5 with significance level of 0.05 is employed. If a shift in the mean of 2.2 units occurs, what is the probability that the next subgroup average will fall outside the control limits? On average, how many subgroups will have to be looked at in order to detect this shift?

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