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A process that produces titanium forgings for automobile turbocharger wheels is to be controlled through use of a x-bar chart. Initially, 100 samples of size

A process that produces titanium forgings for automobile turbocharger wheels is to be controlled through use of a x-bar chart. Initially, 100 samples of size 4 are collected, and a 3-sigma control chart is setup to monitor the process: UCL=12, CL=10, LCL=8. If the process average suddenly shifted to 11, what is that probability that the shift will be detected on the second sample following the shift?

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