Someone constructs an X chart where the control limits are at 2.0 X rather than at 3
Question:
Someone constructs an X̅ chart where the control limits are at ±2.0σX̅ rather than at ±3σX̅ .
a. If the process is in control, what is the ARL for this chart?
b. If the process mean shifts by 0.5σX̅ , what is the ARL for this chart?
c. In units of σX̅, how large an upward shift can be detected with an ARL of 10?
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