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A Quality Analyst Wants to Construct a Control Chart for Determining

question 18

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A quality analyst wants to construct a control chart for determining whether three machines, all producing the same product, are in control with regard to a particular quality variable. Accordingly, he sampled four units of output from each machine, with the following results:  Machine  Measurements #117151517#216251825#323242322\begin{array} { c c c c c } \text { Machine } && { \text { Measurements } } \\\hline \# 1 & 17 & 15 & 15 & 17 \\\# 2 & 16 & 25 & 18 & 25 \\\# 3 & 23 & 24 & 23 & 22\end{array}
What is the estimate of the sample average range based upon this limited sample?


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