ch06 - Chapter 6 Problem 2: 20 + 19.875 + 20 = 19.96 3 0.2...

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Chapter 6 Problem 2: CL = x = 3 20 875 . 19 20 + + = 19.96 UCL = x + 3 n σ = 19.96 + 3 4 2 . 0 = 20.26 LCL = x - 3 n = 19.96 - 3 4 2 . 0 = 19.66 Problem 4: Sample Sample 1 2 3 4 Mean Range 1 16.40 16.11 15.90 15.78 16.05 0.62 2 15.97 16.10 16.20 15.81 16.02 0.39 3 15.91 16.00 16.04 15.92 15.97 0.13 4 16.20 16.21 15.93 15.95 16.07 0.28 5 15.87 16.21 16.34 16.43 16.21 0.56 6 15.43 15.49 15.55 15.92 15.60 0.49 7 16.43 16.21 15.99 16.00 16.16 0.44 8 15.50 15.92 16.12 16.02 15.89 0.62 9 16.13 16.21 16.05 16.01 16.10 0.20 10 15.68 16.43 16.20 15.97 16.07 0.75 Mean: 16.01 0.45 x = 16.01 R = 0.45 Control limits for X-bar chart : CL = 16.01 UCL = 16.01 + (0.73)(0.45) = 16.34 LCL = 16.01 – (0.73)(0.45) = 15.68
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X-bar Chart 15.20 15.40 15.60 15.80 16.00 16.20 16.40 1 2 3 4 5 6 7 8 9 10 Sample Number Control Limits for R-chart: CL = 0.45 UCL = (2.28)(0.45) = 1.03 LCL = (0)(0.45) = 0 R-Chart 0.00 0.20 0.40 0.60 0.80 1.00 1.20 1 2 3 4 5 6 7 8 9 10 Sample Number The sample mean for sample 6 is below the LCL. The process mean is not in control.
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ch06 - Chapter 6 Problem 2: 20 + 19.875 + 20 = 19.96 3 0.2...

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