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

Multiple Choice

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
$$\begin{array} { | c | c | c | c | c | } \hline & & < \mathbf { 1 } \text { Year } & \mathbf { 1 - 4 } \text { Years } & \text { 5-9 Years } \\\hline & \text { High } & 6 & 9 & 9 \\\hline \text { Defect Rate: } & \text { Average } & 9 & 19 & 23 \\\hline & \text { Low } & 7 & 8 & 10 \\\hline\end{array}$$
-Referring to Instruction 15-11,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 ?² > 11.143
B) Reject H₀ if ?² > 16.919
C) Reject H₀ if ?² > 15.507
D) Reject H₀ if ?² > 9.488