What is the probability that the next subgroup average will


Suppose that a process is in control with μ = 14 and σ = 2. An X control chart based on subgroups of size 5 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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Basic Statistics: What is the probability that the next subgroup average will
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