Question 2: Consider the simulation model you did for Joines Chapter 2 (The ice cream store). At time zero, zero customers are in the system and the servers are idle. Suppose, the management is interested in the steady-state behavior of the store during an operating day with 8 hours in terms of the following performance measure: average time a customer stays in the store. Suppose (each element in the following table) denotes the average time customers spend in the store in replication r from time 0 up to the end of j"batch of 20 minutes. For example, is the average time customers spend in the store in the first 4x20=80 minutes in the 5" replication. Suppose you have run the model with R=5 replications and n=10 batches, and have collected the following data: BADOO 0.13 (160mm 19 014 0.133 ON 10 0161 0.12 2 3 4 5 0.000 0.140 0.127 0124 0.150 11 150 0.13 2.151 0.12 156 192 0.150 a. Calculate the Ensemble averages. b. Plot the Ensemble averages versus time in hours ranging from 0 to 200 minutes. c. Using the Ensemble averages method, what do you suggest as d (the first d observations should be deleted for steady states calculation)? Why? How long should be the initialization period? d. Find a 95% confidence interval for the average time in system. Report your answer as lower and upper bounds with three decimal places. Question 2: Consider the simulation model you did for Joines Chapter 2 (The ice cream store). At time zero, zero customers are in the system and the servers are idle. Suppose, the management is interested in the steady-state behavior of the store during an operating day with 8 hours in terms of the following performance measure: average time a customer stays in the store. Suppose (each element in the following table) denotes the average time customers spend in the store in replication r from time 0 up to the end of j"batch of 20 minutes. For example, is the average time customers spend in the store in the first 4x20=80 minutes in the 5" replication. Suppose you have run the model with R=5 replications and n=10 batches, and have collected the following data: BADOO 0.13 (160mm 19 014 0.133 ON 10 0161 0.12 2 3 4 5 0.000 0.140 0.127 0124 0.150 11 150 0.13 2.151 0.12 156 192 0.150 a. Calculate the Ensemble averages. b. Plot the Ensemble averages versus time in hours ranging from 0 to 200 minutes. c. Using the Ensemble averages method, what do you suggest as d (the first d observations should be deleted for steady states calculation)? Why? How long should be the initialization period? d. Find a 95% confidence interval for the average time in system. Report your answer as lower and upper bounds with three decimal places