The Chair of the Operations Management Department at Quality University

Multiple Choice

The chair of the operations management department at Quality University wants to construct a p-chart for determining whether the four faculty teaching the basic P/OM course are in control with regard to the number of students who fail the course. Accordingly, he sampled 100 final grades from last year for each instructor, with the following results: $$\begin{array} { l c } \text { Instructor } & \text { Number of Failures } \\\hline \text { Prof. A } & 13 \\\text { Prof. B } & 0 \\\text { Prof. C } & 11 \\\text { Prof. D } & 16\end{array}$$
What are the .95 (5 percent risk of Type I error) upper and lower control limits for the p-chart?

A) .95 and .05
B) .13 and .07
C) .1588 and .0412
D) .16 and .04
E) .1774 and .0226