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Use the Given Process Data to Construct a Control Chart

question 34

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Use the given process data to construct a control chart for p
-A machine that is supposed to produce ball bearings with a diameter of 7 mm yields the following data from a test of 5 ball bearings every 20 minutes.
SAMR16.36.86.96.86.96.740.626.36.66.66.37.06.560.736.86.77.06.57.06.80.547.06.76.76.86.86.80.356.86.86.66.56.46.620.466.86.76.66.36.96.660.677.37.37.47.47.07.280.487.27.07.26.97.17.080.397.37.67.17.47.67.40.5107.27.67.57.67.17.40.5117.27.27.47.07.07.160.4127.57.47.47.67.17.40.5\begin{array} { l|lllll|l| } S&&&A&&&M&R\\\hline 1&6.3&6.8&6.9&6.8&6.9&6.74&0.6\\2&6.3&6.6&6.6&6.3&7.0&6.56&0.7\\3&6.8&6.7&7.0&6.5&7.0&6.8&0.5\\4&7.0&6.7&6.7&6.8&6.8&6.8&0.3\\5&6.8&6.8&6.6&6.5&6.4&6.62&0.4\\6&6.8&6.7&6.6&6.3&6.9&6.66&0.6\\7&7.3&7.3&7.4&7.4&7.0&7.28&0.4\\8&7.2&7.0&7.2&6.9&7.1&7.08&0.3\\9&7.3&7.6&7.1&7.4&7.6&7.4&0.5\\10&7.2&7.6&7.5&7.6&7.1&7.4&0.5\\11&7.2&7.2&7.4&7.0&7.0&7.16&0.4\\12&7.5&7.4&7.4&7.6&7.1&7.4&0.5\\\end{array}
 Use the given process data to construct a control chart for p -A machine that is supposed to produce ball bearings with a diameter of 7 mm yields the following data from a test of 5 ball bearings every 20 minutes.   \begin{array} { l|lllll|l|  } S&&&A&&&M&R\\ \hline  1&6.3&6.8&6.9&6.8&6.9&6.74&0.6\\2&6.3&6.6&6.6&6.3&7.0&6.56&0.7\\ 3&6.8&6.7&7.0&6.5&7.0&6.8&0.5\\4&7.0&6.7&6.7&6.8&6.8&6.8&0.3\\ 5&6.8&6.8&6.6&6.5&6.4&6.62&0.4\\6&6.8&6.7&6.6&6.3&6.9&6.66&0.6\\ 7&7.3&7.3&7.4&7.4&7.0&7.28&0.4\\8&7.2&7.0&7.2&6.9&7.1&7.08&0.3\\ 9&7.3&7.6&7.1&7.4&7.6&7.4&0.5\\10&7.2&7.6&7.5&7.6&7.1&7.4&0.5\\ 11&7.2&7.2&7.4&7.0&7.0&7.16&0.4\\12&7.5&7.4&7.4&7.6&7.1&7.4&0.5\\ \end{array}


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