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A Quality Control Inspector Keeps a Tally Sheet of the Numbers

Question 59

Essay

A quality control inspector keeps a tally sheet of the numbers of acceptable and unacceptable products that come off two different production lines. The completed sheet is shown below.  Production line  Acceptable  products  Unacceptable  products 115248213654\begin{array} { | c | c | c | } \hline \text { Production line } & \begin{array} { c } \text { Acceptable } \\\text { products }\end{array} & \begin{array} { c } \text { Unacceptable } \\\text { products }\end{array} \\\hline 1 & 152 & 48 \\\hline 2 & 136 & 54 \\\hline\end{array} Can the inspector infer at the 5% significance level that production line 1 is doing a better job than production line 2?

Correct Answer:

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H0: p1 - p2 = 0.
HA: p1 - p2 > 0.
n1 = 200, x1 ...

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