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A Quality Analyst Wants to Construct a Control Chart for Determining

question 48

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A quality analyst wants to construct a control chart for determining whether four machines, all producing the same product, are under control with regard to a particular quality attribute. Accordingly, she inspected 1,000 units of output from each machine in random samples, with the following results:  Machine  Total Defectives #123#215#329#413\begin{array} { l c } \text { Machine } & \text { Total Defectives } \\\hline \# 1 & 23 \\\# 2 & 15 \\\# 3 & 29 \\\# 4 & 13\end{array} What is the estimate of the standard deviation of the sampling distribution of sample proportions for whenever this process is under control?


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