The head of the department of management at Mitil University has noticed that the four secretaries in the department office seem to spend a lot of time answering questions from students that could better be answered by the college advising office, by the faculty advisors, or simply from the available literature; that is, course schedules, catalogs, the students handbook, and so on. As a result the department head is considering remodeling the office with cubicles so student do not have easy access to the secretaries. However, before investing in this project the head has decided to conduct a work sampling study to determine the proportion of time the secretaries spend assisting students. The head arranged for a graduate assistant to make observation for the sample, but the graduate student's schedule enabled her to make only 300 random observations in the time allotted of the time, somewhat less than the head anticipated. a. Given the number of observations that were included in the work sampling study, what is the value of z to determine how confident can the department head be that the sample result is within 3 percent of the actual proportion? b. How many fewer or additional observation would be required for the department head to be 95 percent confident in the work sampling result?
The head of the department of management at Mitil University has noticed that the four secretaries in the department office seem to spend a lot of time answering questions from students that could better be answered by the college advising office, by the faculty advisors, or simply from the available literature; that is, course schedules, catalogs, the students handbook, and so on. As a result the department head is considering remodeling the office with cubicles so student do not have easy access to the secretaries. However, before investing in this project the head has decided to conduct a work sampling study to determine the proportion of time the secretaries spend assisting students.
The head arranged for a graduate assistant to make observation for the sample, but the graduate student's schedule enabled her to make only 300 random observations in the time allotted of the time, somewhat less than the head anticipated.
a. Given the number of observations that were included in the work sampling study, what is the value of z to determine how confident can the department head be that the sample result is within 3 percent of the actual proportion?
b. How many fewer or additional observation would be required for the department head to be 95 percent confident in the work sampling result?
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