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TABLE 12-10 One Criterion Used to Evaluate Employees in the Assembly Section

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TABLE 12-10
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. TABLE 12-10 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.   -Referring to Table 12-10,find the rejection region necessary for testing at the 0.05 level of significance whether there is a relationship between defect rate and years of experience. A) Reject H<sub>0</sub> if χ<sup>2</sup> > 16.919 B) Reject H<sub>0</sub> if χ<sup>2</sup> > 15.507 C) Reject H<sub>0</sub> if χ<sup>2</sup> > 11.143 D) Reject H<sub>0</sub> if χ<sup>2 </sup>> 9.488
-Referring to Table 12-10,find the rejection region necessary for testing at the 0.05 level of significance whether there is a relationship between defect rate and years of experience.


Definitions:

Decompression Melting

The process by which melting occurs in the mantle due to a decrease in pressure as rocks ascend towards the surface.

Mantle-Derived Magmas

Magma that originates from the Earth's mantle, typically characterized by its composition which can influence the type of volcanic eruption.

Continental Crust

The thick part of the Earth's crust that forms the continents and continental shelves, composed mostly of granite.

Decompression Melting

The process where melting occurs in upwelling mantle material as it experiences lower pressures without a corresponding decrease in temperature, leading to magma formation.

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