The bank opens at 8 AM and closes at 4 PM on weekdays. Customers arrive at the b

The bank opens at 8 AM and closes at 4 PM on weekdays. Customers arrive at the bank according to IID exponentially distributed inter-arrival times with the following time-dependent rates.20 per hour between 8 AM and 11 AM35 per hour between 11 AM and 1 PM25 per hour between 1 PM and 4 PMCustomers come to the bank for various reasons. Data collection shows that 50% of the customers come to withdraw money 30% come to deposit money and 20% come for other bank services. Histograms of the empirical data suggest the following service-dependent distributions of customer service times:Money withdrawal:Unif(3 5)minutesMoney deposit:Unif(4 6)
Other Services:Tria(51318)minutesAll service times are IID. There are 2 tellers serving a single queue for both withdrawal and deposit services and 2 bank officers serving another single queue for all other services.a)Develop an Arena model for the bank run it for one day and estimate customer mean waiting times.b)Run 10 replications of the model and obtain point estimates and 95% confidence intervals (manually) for the waiting times in each of the two queues. Repeat the estimation procedure using 20 replications and compare the results to those of(a).c)Using the ArenaOutput Analyzer test the hypothesis that the waits in the two queues have the same means.