Construct a Run Chart for Individual Values Corresponding to the Given

question 167

Essay

Construct a run chart for individual values corresponding to the given data. A machine is
supposed to fill boxes to a weight of 50 pounds. Every 30 minutes a sample of four boxes is
tested; the results are given below. $\quad$ $\quad$ $\quad$ $\quad$ $\quad$$\text { Box Weight (lb) }$
$\begin{array}{l}\begin{array}{c|}\underline {\text { Sample } }\\ 1\\2\\3\\4\\5\\6\\7\\8\\9\\10\\11\\12\\13\\14\\15\\\end{array}\begin{array}{lrll|}\\\hline 49 & 38 & 39 & 45 \\52 & 51 & 43 & 61 \\56 & 60 & 32 & 52 \\44 & 59 & 46 & 49 \\51 & 61 & 48 & 45 \\45 & 50 & 46 & 48 \\52 & 51 & 45 & 55 \\40 & 50 & 53 & 48 \\48 & 67 & 60 & 51 \\43 & 50 & 50 & 47 \\48 & 30 & 38 & 39 \\50 & 46 & 48 & 53 \\50 & 58 & 56 & 64 \\47 & 52 & 47 & 49 \\52 & 57 & 58 & 52\end{array}\begin{array}{c|}\bar{x} \\\hline 42.75 \\51.75 \\50.00 \\49.50 \\51.25 \\47.25 \\50.75 \\47.75 \\56.50 \\47.50 \\38.75 \\49.25 \\57.00 \\48.75 \\54.75\end{array}\begin{array}{c}\text { Range } \\\hline 11 \\18 \\28 \\15 \\16 \\5 \\10 \\13 \\19 \\7 \\18 \\7 \\14 \\5 \\6\end{array}\end{array}$

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