Consider an automatic production line that delivers computer components for inspection. According to the system’s specification, the interarrival time of the delivery follows a continuous uniform distribution between 5 to 15 minutes. The average inspection time of one component is 10 minutes. A simulation model was developed to replicate the system and eight samples were collected with the following data:Sample #12345678Interarrival time14.714.86.811.66.313.37.910.3Inspection time8.35.74.09.010.65.98.57.0 Apply the Kolmogorov-Smirnov test, at the 1% level of significance, to test the hypothesis that the simulated interarrival times comply with the system’s specification.Conduct a statistical test to determine if the simulated inspection times are consistent with the system behavior at the 5% level of significance. Give another set of inspection times, 9.1, 12.7, 8.7, 10.8, 11.6, and 6.8, perform a two-sample rank-sum test at the 5% level of significance, to test that the two sets of inspection times are samples from the same distribution.

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6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Consider an automatic production line that delivers computer components for inspection. According to the system’s specification, the interarrival time of the delivery follows a continuous uniform distribution between 5 to 15 minutes. The average inspection time of one component is 10 minutes. A simulation model was developed to replicate the system and eight samples were collected with the following data:

Apply the Kolmogorov-Smirnov test, at the 1% level of significance, to test the hypothesis that the simulated interarrival times comply with the system’s specification.
Conduct a statistical test to determine if the simulated inspection times are consistent with the system behavior at the 5% level of significance.
Give another set of inspection times, 9.1, 12.7, 8.7, 10.8, 11.6, and 6.8, perform a two-sample rank-sum test at the 5% level of significance, to test that the two sets of inspection times are samples from the same distribution.

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