Table 15-1 Sample Size Mean Factor Upper Range Lower Range n A2 D4 D3 2 1.880 3.628 0 3 1.023 2.574 0 4 0.729 2.282 0 5 0.577 2.114 0 6 0.483 2.004 0 7 0.419 1.924 0.076 8 0.373 1.864 0.136 9 0.337 1.816 0.184 10 0.308 1.777 0.223 12 0.266 1.716 0.284 1) Use the data shown below and the information in Table 15-1 to develop a control chart that monitors central tendency. Use your chart to make an assessment N is the process in control? Sample X1 X2 X3 X4 X5 Xbar Range 1 10.23 10.14 10.21 10.73 10.76 10.41 0.62 2 10.8 10.69 10.11 10.79 10.63 10.6 0.69 3 10.12 10.84 10.96 10.21 10.97 10.62 0.85 4 10.27 10.85 10.63 10.37 10.92 10.61 0.65 5 10.78 10.54 10.74 10.39 10.41 10.57 0.39 6 10.24 10.17 10.33 10.27 10.36 10.27 0.19 7 10.17 10.07 10.66 10.4 10.38 10.34 0.59 8 10.76 10.99 10.86 10.36 10.76 10.75 0.63 9 10.12 10.5 10.47 10.59 10.73 10.48 0.61 10 10.15 10.32 10.47 10.42 10.43 10.36 0.32
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Step 1
First, we need to calculate the control limits for the central tendency chart. We will use the X-bar chart for this purpose. The control limits are calculated using the following formulas: Upper Control Limit (UCL) = Grand Mean + (Mean Factor * Average Show moreā¦
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