Use the Given Process Data to Construct a Control Chart

Essay

Use the given process data to construct a control chart for p
-A machine is supposed to fill cans that contain 12 oz. Each hour, a sample of four cans is tested; the results of 15 consecutive hours are given below. $\begin{array}{c|cccc|c|c}\mathrm{S} & & \mathrm{A} &&& \mathrm{M} & \mathrm{R} \\\hline 1 & 11.2 & 11.7 & 11.8 & 11 .7 & 11.6 & 0.6 \\2 & 11.8 & 11.3 & 11.6 & 11 . 6& 1.575 & 0.5 \\3 & 11.3 & 12.0 & 11.8 & 11.7 & 11.7 & 0.7 \\4 & 12.1 & 11.6 & 12.1 & 12.0&11 .95 & 0.5 \\5 & 11.8 & 11.8 & 11.9 & 11.9&11 .85 & 0.1\\6 & 12.0 & 11.9 & 11.8 & 11.7&11 .85&0 .3 \\7 & 11.6 & 12.0 & 11.9 & 11.8&1 .825&0 .4 \\8 & 11.5 & 12.1 & 11.9 & 12.0&11 .875&0 .6\\9 & 12.1 & 12.1 & 11.7 & 11.9&11 .95&0 .4 \\10 & 11.7 & 12.0 & 11.6 & 11.9 & 11.8 & 0.4 \\11 & 12.1 & 12.4 & 11.9 & 12.2&12 .15&0 .5\\12 & 12.5 & 12.0 & 12.4 & 12 .3& 12.3 & 0.5 \\13 & 12.5 & 12.0 & 12.1 & 12.1 & 12.175 & 0.5 \\14 & 12.4 & 12.0 & 12.0 & 12 . 4& 12.2 & 0.4 \\15 & 12.4 & 12.4 & 12.6 & 12 .1 & 12.375 & 0.5\\\end{array}$