As a class project you have been asked to project the pro- portion of time a professor spends on various activities. You have decided to use the work sampling method. Your initial ob- servations are shown. Activity Observed Grading Administrative paperwork Preparing for class Teaching class Meeting with student(s) On the phone Working on research Unavailable Total Number of Times Observed 4 6 S 5 8 2 6 4 40 You are instructed that your estimates are to be within 5% of the true value with 97% confidence (z - 2.17),

(a) Based on your initial observations, how many total ob- servations are needed to estimate the proportion of time the professor spends on each activity?

After taking additional observations, the following data is available.

(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 54 hours per week, determine the amount of time that would normally be spent on each activity.

Activity Observed Grading Administrative paperwork Preparing for class Teaching class Number of Times Observed 30 50 30 30 Meeting with student(s) 66 On the phone 14 Working on research 45 Unavailable Total 34 302