1. Cans of soup are supposed to weigh exactly 16 oz. Inspectors want to develop process control charts. They take eight samples of five boxes and weigh them. They obtain the following data: (15 points) Sample Mean weight Range Factor for -chart Factor for R-chart Factor for R-chart 15.2 1.8 Sample Size n A D D 2 2 14.6 1.88 0 0.7 3.27 3 1.02 2.57 3 16.5 0.5 4 0.73 2.28 4 18.1 5. 08 0 0.4 2.11 6 0.48 2.00 5 13.2 0.2 7 0.42 0.08 1.92 6 16.0 8 0.4 0.37 0.14 1.86 9 0.34 0.18 1.82 7 15.9 0.5 10 0.31 0.22 1.78 14.8 0.9 (a) What is the upper 3-sigma control limit for the x-bar chart? (b) What is the lower 3-sigma control limit for the x-bar chart? (c) What is the upper 3-sigma control limit for the R-chart? (d) What is the lower 3-sigma control limit for the R-chart? (e) Is the process in a state of control?