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3. The following x and s charts based on n = 4 have shown statistical control: I Chart r Chart UCL - 710 UCL -

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3. The following x and s charts based on n = 4 have shown statistical control: I Chart r Chart UCL - 710 UCL - 18.08 Center line - 700 Canler ling - 7.979 LCL - 690 LCL -0 (a) Estimate the process parameters , and q. (b) If the specifications are at 705 15, and the process output is normally distributed, estimate the fraction nonconforming- (c) For the X chart, find the probability of a type I error, assuming G is constant. (d) Suppose the process mean shifts to 693 and the standard deviation simultaneously shifts to 12. Find the probability of detecting this shift on the x chart on the first subsequent sample. (e) For the shift of part (d), find the average run length

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