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...



  1. 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 #



1



2



3



4



5



6



7



8



Interarrival time



14.7



14.8



6.8



11.6



6.3



13.3



7.9



10.3



Inspection time



8.3



5.7



4.0



9.0



10.6



5.9



8.5



7.0




  1.   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.

  2. Conduct a statistical test to determine if the simulated inspection times are consistent with the system behavior at the 5% level of significance.

  3.   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.



Jun 11, 2022
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