Question: In a computer control system, the high and low warning limits for a critical temperature measurement are set at the 2-sigma limits, T 3

In a computer control system, the high and low warning limits for a critical temperature measurement are set at the “2-sigma limits,” T̅ ± 3σ̂ T, where T̅ is the nominal temperature and σ̂ T is the estimated standard deviation. If the process operation is normal and the temperature is measured every minute, how many “false alarms” (that is, measurements that exceed the warning limits) would you expect to occur during an eight-hour period?

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