One criterion used to evaluate employees in the assembly section of a large fact

Question

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 1-4 Years 5-9 Years High Average Low Defect Rate: 19 23 10 Referring to Table 11-10, 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.

Explanation / Answer

Degrees of freedom = (3 - 1)*(3 - 1) = 4

Level of significance = 0.05

Hence,

Critical value = 9.488

Option C is correct.

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