An automatic lathe produces rollers for roller bearings, and the process is monitored by statistical process control charts. The central line of the chart for the means is set at 8.20 and for the mean range at 0.25 mm. The process is in control, as established by samples of size 6. The upper and lower specifications diameter of the rollers are (8.20 +0.35) and (8.20-0.35) mm, respectively. Click the icon to view the table of factors for calculating three-sigma limits for the x-chart and R-chart. a. Calculate the control limits for the mean and range charts The UCLR equals 8.38 mm and the LCL equals 8.01 mm. (Enter your responses rounded to two decimal places.) Size of Sample Factor for UCL and LCL (n) for x-chart (A₂) 1.880 1.023 0.729 0.577 0.483 0.419 0.373 0.337 0.308 23 4 567891 Factors for calculating three-sigma limits for the x-chart and R-chart Factor for LCL for R-Chart (D3) 0 0 0 0 0 0.076 0.136 0.184 0.223 10 Factor for UCL for R-Chart (D4) 3.267 2.575 2.282 2.115 2.004 1.924 1.864 1.816 1.777

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