A Quality Control Inspector Keeps a Tally Sheet of the Numbers

question 40

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. $$\begin{array} { | c | c | c | } \hline \text { Production line } & \begin{array} { c } \text { Acceptable } \\\text { products }\end{array} & \begin{array} { c } \text { Unacceptable } \\\text { products }\end{array} \\\hline 1 & 152 & 48 \\\hline 2 & 136 & 54 \\\hline\end{array}$$ Can the inspector infer at the 5% significance level that production line 1 is doing a better job than production line 2?

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Definitions:

Tension Reduction Hypothesis

The theory that behaviors such as substance use are motivated by the desire to reduce stress.

Drinking

The act of consuming liquids; in the context of alcohol, it refers to the ingestion of alcoholic beverages.

Supported

Having the backing or endorsement from individuals, groups, or evidence, offering assistance or approval.

Chemical Treatments

Processes or procedures that use chemical agents to treat or alter a substance, material, or living tissue, often used in industrial, medical, and healthcare applications.