A Quality Analyst Wants to Construct a Control Chart for Determining

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: $$\begin{array} { l c } \text { Machine } & \text { Total Defectives } \\\hline \# 1 & 23 \\\# 2 & 15 \\\# 3 & 29 \\\# 4 & 13\end{array}$$ What is the estimate of the standard deviation of the sampling distribution of sample proportions for whenever this process is under control?

A) .016
B) .00016
C) .04
D) .0044
E) .00002

Correct Answer:

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