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# Work System Design

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16. As a class project you have been asked to project the proportion of time a professor spends on various activities. You have decided to use the work sampling method. Your initial observations are shown:

Activity Observed # of times observed

Preparing for class 5
Teaching class 5
Meeting with students 8
On the phone 2
Working on research 6
Unavailable 4

Total 40

Your instructed that your estimates are to be within 5 percent of the true value with 97 percent confidence (z=2.17)

A. based on your initial observations, how many total observations are needed to estimate the proportion of time the professor spends on each activity?

After taking additional observations, the following data are available.

Activity Observed # of times observed

Preparing for class 30
Teaching class 30
Meeting with students 66
On the phone 17
Working on research 45
Unavailable 299

B. Determine what proportion of time the professor spends teaching class
C. Determine what proportion of time the professor spends working on research
D. If the professor works approximately fifty-four hours per wk, determine the amount of time that would normally be spent on each activity.