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 is the sample proportion of failures (p) for Prof. D?
A) 0
B) .04
C) .11
D) .13
E) .16

Question

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 is the sample proportion of failures (p) for Prof. D?
A) 0
B) .04
C) .11
D) .13
E) .16

Quizplus · Accepted Answer

The sample proportion of failures (p) for Prof. D is calculated by dividing the number of failures by the total number of students sampled. For Prof. D, this is 16 failures out of 100 students, so p = 16/100 = 0.16.

The Chair of the Operations Management Department at Quality University