Consider a CUSUM with h = 5 and k = 1 / 2. Samples are

Chapter 15, Problem 77E

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Problem 77E

Consider a CUSUM with h = 5 and k = 1 / 2. Samples are taken every two hours from the process. The target value for the process is μ0 = 50 and σ = 2. Use Table 15-10.

(a) If the sample size is n = 1, how many samples would be required to detect a shift in the process mean to μ = 51 on average?

(b) How does increasing the sample size to n = 4 affect the average run length to detect the shift to μ = 51 that you determined in part (a)?

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