Question

Question 3 (20 marks) iven a sample of time-to-failure (X), in hours, of a particular brand of weaving machines: 100 250 720 465 910 2017 1600 1300 nypothesis that the failure time follows an exponential distribution with mean 1000 (hours). Conduct the Kolmogorov-Smirnov test, at 1% level of significance, for testing the [9 marks] the context of the validation process in simulation, write short notes on the "Input- [4 marks] output Transformation". (c) Consider a queueing system with interarrival rate that follows a distribution with mean 2.3 minutes. The system is simulated for 60 hours after deletion of initial bias Applying the method of batch means and the following data (on the average waiting time per customer) is collected, with batch interval of 10 hours: Batch Interval (hours) [0, 10) [10, 20) [20, 30) [30, 40) 40, 50) [50, 60) Average Waiting Time (mins) Xy Further given hataE- ΣΧ,:: 14.45 and Σ( -0,90, where F denotes the mear x,-x)--0.90 , where x denotes the mean -1 of the Average Waiting Time from the six replications, determine the number of 10- hour batches required to estimate the long run average waiting time per customer to be within 0.25 minute from the true value, with 90% confidence. State your assumptions/approximations. [7 marks]

Answer 1

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