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Use the Given Process Data to Construct a Control Chart

Question 14

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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. SAMR111.211.711.811.711.60.6211.811.311.611.61.5750.5311.312.011.811.711.70.7412.111.612.112.011.950.5511.811.811.911.911.850.1612.011.911.811.711.850.3711.612.011.911.81.8250.4811.512.111.912.011.8750.6912.112.111.711.911.950.41011.712.011.611.911.80.41112.112.411.912.212.150.51212.512.012.412.312.30.51312.512.012.112.112.1750.51412.412.012.012.412.20.41512.412.412.612.112.3750.5\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}
 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}

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