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 Sample Mean (in.) Range (in.) 1 10.012 0.009 2 10.007 0.014 9.991 0.007 4 10.006 0.026 5 9.997 0.016 6 9.999 0.012 7 10.001 0.008 8 10.005 0.013 9 9.995 0.015 10 10.001 0.011 11 10.003 0.014 12 10.006 0.009 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