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(IELM313)IELM313_HW3.pdf
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IELM313 Homework #3
Due 30 March, Fri. 5pm
Consider the Able-Baker technical call center problem. The manager of the call center would like to use simulation model to investigate the performance of the center, which is typically measured by utilization. Observations of the utilization can be obtained through running simulation model. Now 10 independent observations of the utilization are available, which are listed as follows:
0.808 0.875 0.764 0.790 0.812 0.834 0.705 0.725 0.774 0.835
The manager is interested in the true utilization, denoted by , as well as the probability that utilization is lager than 0.8, denoted by p.
Question 1. Based on these observations, compute the point estimates and 95% con.dence intervals for both and p. Assume that now the manager wants the halfwidth of the 95% con.dence interval if to be no more than 0.005. Then at least how many additional observations should the manager obtain? Similarly, if he wants the halfwidth of 95% con.dence interval of p to be no more than 0.01, then at least how many additional observations are needed? Question 2. Suppose that now the manager has 100 independent observations of the utilization. (The data can be found in the Excel .le). He is interested in the utilizations 90% quantile, denoted by q. Compute the point estimate and 95% con.dence interval for q.
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