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Sample Number X1 2 5 0.0631 |0.0637 |0.0640 |0.06350.0641 0.0629 0.0631 0.0620 0.0625 0.0627 0.06280.0631 10.0633 10.0633 10.(a) Using all the data find trial control limits for A and R charts. Round all intermediate calculations to five decimal plac(b)Construct * and R control charts using the control limits from part (a) to identify out-of-control points. (Use Minitab, E

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Answer #1

(a) X control limit UCL 0.06351 CL 0.06294 LCL = 0.06237 R control limit: UCL 0.00208 CL 0.00098

Xbar-R Chart of x1, ..., x5 0.0640 0.0635 UCL-0.063506 ย 0.0630 x=0.062938 0.0625 LCL=0.062371 0.0620 13151719 Sample 21 23 2

(b) Out-of-control

No. of subgroups fall outside the control limits on both charts combined=5+2=7 (count red points)

(c)

(c) X control limit UCL 0.06351 CL 0.06294 LCL = 0.06237 S control limit: UCL 0.00083 CL 0.00040

Xbar-S Chart of x1, ..., x5 0.0640 0.0635- UCL= 0.063506 . 0.0630 LCL=0.062371 1 3579 11 13 15 17 19 21 23 25 Sample 0.00100

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Sample Number X1 2 5 0.0631 |0.0637 |0.0640 |0.06350.0641 0.0629 0.0631 0.0620 0.0625 0.0627 0.06280.0631 10.0633...
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