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Control charts for X and R are to be established on a certain dimension part. Data were collected in subgroup sizes of 7 and are

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Control charts for X and R are to be established on a certain dimension part. Data were collected in subgroup sizes of 7 and are given below. Determine the control limits. Identify the points that are out of control. [8] Sample No 1 2 3 5 6 7 8 9 10 Average 20.35 20.40 20.36 20.65 20.20 20.40 20.43 20.38 20.41 20.42 Range 0.34 0.37 0.34 0.36 0.36 0.35 0.33 0.34 0.35 0.36 Control Factors n 2 3 5 6 7 8 9 10 11 A2 1.88 1.02 0.73 0.58 0.48 0.42 0.37 0.34 0.31 0.29 D3 0.00 0.00 0.00 0.00 0.00 0.08 0.14 0.18 0.22 0.26 D4 3.27 2.57 2.28 2.11 2.00 1.92 1.86 1.82 1.78 1.74

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