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A Quality Control Supervisor Selected a Sample of 100 Electronic α=0.05\alpha = 0.05

question 56

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A quality control supervisor selected a sample of 100 electronic components from each of three different production chains to determine if the production chains had the same rates of meeting their quality standards. At α=0.05\alpha = 0.05 , test the claim that the proportions ar equal.
 Components  Chain 1  Chain 2  Chain 3  Meets the standard 808774 Does not meet the standard 201326 Total 100100100\begin{array} { l c c c } \text { Components } & \text { Chain 1 } & \text { Chain 2 } & \text { Chain 3 } \\ \text { Meets the standard } & 80 & 87 & 74 \\ \text { Does not meet the standard } & 20 & 13 & 26 \\ \text { Total } & 100 & 100 & 100 \end{array}


Definitions:

Job Rotation

A system in which an employee is moved from one specialized job to another.

Job Enlargement

The process of adding more tasks of similar difficulty to an employee's job role to increase job diversity.

Labour Specialization

The division of labor where individual workers specialize in doing part of a task or job, leading to increased efficiency and productivity.

Specialized Tools

Tools designed for specific tasks or functions, often used to improve efficiency and performance in particular applications.

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