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Twelve samples, each containing five parts, were taken from a process that produces steel rods at a factory. The length of each rod (in inches)

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Twelve samples, each containing five parts, were taken from a process that produces steel rods at a factory. The length of each rod (in inches) in the samples was determined. The results were tabulated and sample means and ranges were computed. The results were are shown below. Notice X-bar and R values are already given, so you don't need to compute them. a) Determine the UCL and LCL for X-bar chart, and plot the X-bar chart. b) Determine the UCL and LCL for R chart, and plot the R chart. c) Both X-bar and R should be in control to conclude the process is in control. Based on your results, is the process in control? Sample Mean, X-bar 10.002 Range, R 0.011 1 2 10.002 0.014 3 9.991 0.007 4 10.006 0.018 5 9.997 0.013 6 9.999 0.012 7 10.001 0.008 8 10.005 0.013 9 9.995 0.004 10 10.001 0.011 11 10.001 0.014 12 10.006 0.009

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