Question 6.1 An analyst has drawn twelve samples, each containing six sample points, from a process that produces a product. The diameter of each product in the samples was determined. The results were tabulated and sample means and ranges were computed. The results were: Sample 1 2 3 4 5 6 7 8 9 10 11 Sample Mean (in.) 10.012 10.007 9.991 10.006 9.997 9.999 10.001 10.005 9.995 10.001 10.003 10.006 + Range (in.) 0.009 0.014 0.007 0.026 0.016 0.012 0.008 0.013 0.015 0.011 0.014 0.009 12 a) Determine the upper and lower control limits and the overall means for x-charts and R-charts. b) Draw the charts and plot the values of the sample means and ranges. c) Do the data indicate a process that is in control? d) Why or why not