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You have built the simulation model of a bank operation to analyze the average waiting time of customers. At the beginning of your simulation, you assume that there are no customers in the bank and all tellers are idle. You run 4 independent replications of the bank, each run representing a 300- minute period. For each of these runs, you collect the average waiting time for customers in 60- minute intervals. The results are summarized below: Rep. 0-60min 60-120min 120-180min 180-240min 240-300min 8 34 26 44 52 2 12 24 36 24 28 3 9 50 42 30 26 14 22 48 28 34 Average 10.75 32.50 38.00 31.50 35.00 a) Observe that the customer waiting times earlier in the simulation run have a lower average waiting time than the later periods due to the initialization of the model with no customers. Construct a 95% confidence interval on the average waiting time of a customer which does not reflect the error due to empty initialization. b) Suppose we would like to estimate the average customer waiting time within +10 minutes, how many additional replications would you need to make to achieve this? c) Suppose that you have also collected actual customer waiting time data from the bank and the average waiting time for the collected data is 34 minutes. Based on this, would you say that your model results represent the actual system accurately