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Instruction 15-11
One Criterion Used to Evaluate Employees in the Assembly

question 42

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Instruction 15-11
One criterion used to evaluate employees in the assembly section of a large factory is the number of defective pieces per 1,000 parts produced. The quality control department wants to find out whether there is a relationship between years of experience and defect rate. Since the job is repetitious, after the initial training period any improvement due to a learning effect might be offset by a loss of motivation. A defect rate is calculated for each worker in a yearly evaluation. The results for 100 workers are given in the table below.
Years since Training Period
<1 Year 14 Years  5-9 Years  High 699 Defect Rate:  Average 91923 Low 7810\begin{array} { | c | c | c | c | c | } \hline & & < \mathbf { 1 } \text { Year } & \mathbf { 1 - 4 } \text { Years } & \text { 5-9 Years } \\\hline & \text { High } & 6 & 9 & 9 \\\hline \text { Defect Rate: } & \text { Average } & 9 & 19 & 23 \\\hline & \text { Low } & 7 & 8 & 10 \\\hline\end{array}
-Referring to Instruction 15-11,what is the expected number of employees with 1 to 4 years of training time and a high defect rate?


Definitions:

Constraint

A limitation or restriction in a problem-solving or decision-making process, often imposed by the requirements or conditions of a scenario.

Cutting Pattern

A specified arrangement or plan for cutting materials, used in manufacturing or textile production to maximize efficiency or output.

Solver

A tool or algorithm used to find the solution to mathematical problems or optimize certain parameters within constraints.

Optimal Solution

Refers to the most efficient, effective, or achievable outcome or answer to a problem within a given set of constraints.

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