A process has a target of ?0 = 100 and a standard

Chapter 15, Problem 83E

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Heart rate (in counts/minute) is measured every 30 minutes. The results of 20 consecutive measurements are as follows:

                                           

Suppose that the standard deviation of the heart rate is \(\sigma=3\) and the target value is 70.

(a) Design a CUSUM scheme for the heart rate process. Does the process appear to be in control at the target?

(b) How many samples on average would be required to detect a shift of the mean heart rate to 80?

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