1. 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 under 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: What is the estimate of the mean proportion of failures for these instructors?

INSTRUCTOR	NUMBER OF FAILURES
Prof. A	13
Prof. B	0
Prof. C	11
Prof. D	16

Select one:

A. .16

B. .40

C. .11

D. .13

E. .10

2. 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 under 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: What is the estimate of the standard deviation of the sampling distribution for an instructor's sample proportion of failures?

INSTRUCTOR	NUMBER OF FAILURES
Prof. A	13
Prof. B	0
Prof. C	11
Prof. D	16

Select one:

A. .3

B. .075

C. .03

D. .75

E. .0075

3. 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 under 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: What are the .95 (5% risk of Type I error) upper and lower control limits for the p-chart?

INSTRUCTOR	NUMBER OF FAILURES
Prof. A	13
Prof. B	0
Prof. C	11
Prof. D	16

Select one:

A. .1774 and .0226

B. .1588 and .0412

C. .16 and .04

D. .13 and .07

E. .95 and .05

4. 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 under 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: Using .95 control limits, (5% risk of Type I error), which instructor(s), if any, should he conclude is (are) out of control?

INSTRUCTOR	NUMBER OF FAILURES
Prof. A	13
Prof. B	0
Prof. C	11
Prof. D	16

Select one:

A. both Prof. B and Prof. D

B. all

C. Prof. B

D. none

E. Prof. D