2. A X bar uses a subgroup of size four. The center line is at 110, and the upper and lower three-sigma control limits are at 122 and 98, respectively. (a) Suppose the process mean shifts to 105. Determine the probability that this shift will be detected on the next sample. (b) Find the ARL to detect the shift in part (b)

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2. A X bar uses a subgroup of size four. The center line is at 110, and the upper and lower
three-sigma control limits are at 122 and 98, respectively.
(a) Suppose the process mean shifts to 105. Determine the probability that this shift
will be detected on the next sample.
(b) Find the ARL to detect the shift in part (b)
Transcribed Image Text:2. A X bar uses a subgroup of size four. The center line is at 110, and the upper and lower three-sigma control limits are at 122 and 98, respectively. (a) Suppose the process mean shifts to 105. Determine the probability that this shift will be detected on the next sample. (b) Find the ARL to detect the shift in part (b)
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