[Step-by-Step] You have an x̄ chart monitoring your production process. You are using a Shewhart Control chart with 2.75 limits which means that the
Question: You have an \[\bar{x}\] chart monitoring your production process. You are using a Shewhart Control chart with 2.75 limits which means that the probability of getting an out of control signal when the process is in control is p = .006.
- What is the probability of getting a false alarm on the very next sample?
- What is the probability of not having a false alarm in the next 10 samples?
- If we sample every 45 minutes, how long (in hours) will we go on average between false alarms?
- If the mean shifts to + 1 (an out of control state), what is the probability of getting a false alarm on the very next sample?
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