# Question: Rework Exercise 11 5 assuming that the subgroup size is n

Rework Exercise 11.5, assuming that the subgroup size is n = 5.

m = 30 preliminary samples, n = 5 sample size, p = 6 characteristics, = 0.005

(a) Find the phase II control limits assuming that = 0.005.

(b) Compare the control limits from part (a) to the chi-square control limit. What is the magnitude of the difference in the two control limits?

(c) How many preliminary samples would have to be taken to ensure that the exact phase II control limit is within 1% of the chi-square control limit?

m = 30 preliminary samples, n = 5 sample size, p = 6 characteristics, = 0.005

(a) Find the phase II control limits assuming that = 0.005.

(b) Compare the control limits from part (a) to the chi-square control limit. What is the magnitude of the difference in the two control limits?

(c) How many preliminary samples would have to be taken to ensure that the exact phase II control limit is within 1% of the chi-square control limit?

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