MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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  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.
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