assume that team modeled your a restaurant and observed the number of customers being served. The Simulation model was run 10 times under validated conditions. Then, using the Same arrival rates another 10 replications were run by changing the number of resources. The number of served customers under both scnerio is given in the table below. First # of runs smulation 1 2 3 4 5 6 7 8 9 10 36 41 28 14 25 20 24 20 22 31 Second Simulation X: 35 46 27 19 32 25 28 30 ad 23 29 2 a) [10P) Do two different settings have the same number of served customers (you have to answer conducting proper statistical test, a = 0,05)? by b) (bp) Both models were run for 200 minutes; replicated 30 times. The resulting output analysis on average total time customers spent in the system is given below. Total Time Paired - T Means Comparison: IDENTIFIER ESTO. MEAN DIFFERENCE STANDARD 0,950 C.I. DEVIATION HALF-WIDTH 31,2 33.8 MINIMUM VALUE VALUE 35,9 64 22 NUMBER OF 065 30 33,6 2,36 Total Time 17,8 30 what does the output tell about the equality of mean times spent in two different settings? (State the hypothesis and your conclusion)? c) (7P) Considering the output above. What is the number of required runs in order to estimate a confidence interval on the true mean difference with a half-length of 1 min?