The data overleaf are 40 samples of size 5 taken from a surgical tool manufacturing process. They give the diameter in mm of a hole in the tool. The first 20 samples are to be used to estimate the control limits. Use software to produce a control chart for the sample mean and an R-chart and comment.

Samples of size 5 taken from a surgical-tool manufacturing process Sample Diameter (mm) 3.36 3.07 3.40 3.30 3.14 3.04 2.98 3 3.10 2.92 3.37 3.26 3.12 3.12 2.98 2.88 2.97 3.29 3.23 3.32 3.23 2.85 3.29 3.07 3.58 .09 3.43 3.32 3.35 3.53 3.28 3.28 3.27 2.98 3.22 2.99 3.35 2.93 3.11 3.01 3.24 2.99 2.99 3.20 3.30 3.13 3.07 3.40 3.02 2.95 3.12 2.99 3.45 3.11 3.08 3.00 3.45 2.95 3.23 3.15 3.35 3.12 3.05 3.00 3.37 3.24 3.25 2.87 2.9 3.44 3.25 3.09 3.38 2.86 2.98 3.56 3.27 2.84 3.46 3.28 3.35 3.26 3.24 3.44 3.02 3.29 3.14 2.98 2.94 2.91 2.92 3.19 3.27 3.39 2.97 3.26 2.80 3.33 3.09 2.86 2.95 3.02 3.48 3.27 3.15 3.31 3.07 3.15 3.15 3.30 2.84 2.89 . 3.19 3.28 3.67 3.08 3.04 3.20 3.45 3.65 3.19 3.43 3.39 3.23 3.09 3.31 3.033.52 3.40 3.29 3.30 3.05 3.00 3.37 3.15 3.60 3.023.21 3.13 3.54 3.06 3.42 2.70 3.06 3.29 3.00 2.78 3.11 3.21 3.42 3.36 3.39 3.00 3.11 3.23 2.94 3.26 3.89 3.39 3.33 3.05 2.93 3.49 3.58 3.06 3.23 3.20 2.54 3.04 3.46 3.40 2.85 2.87 3.13 3.08 3.11 3.19 3.14 10 3.06 3.27 12 13 15 16 19 20 23 24 25 26 27 28 29 30 31 32 34 35 36 37 3.30 3.34 3.66 3.67 3.31 3.60 3.81 3.72 3.24 3.50 3.56 3.46 3.70 3.82 3.72 3.50 3.40 4.10 3.90 3.70 39