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TABLE 12-4 One Criterion Used to Evaluate Employees in the Assembly Section

Question 144

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TABLE 12-4
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 12-4 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 12-4, 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 12-4, 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 H0 if χ2 > 16.919
B) Reject H0 if χ2 > 15.507
C) Reject H0 if χ2 > 11.143
D) Reject H0 if χ2 > 9.488

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