A certain bridge in Cebu is being re-constructed. The civil engineers would like to consider the number of heavy-duty vehicles that pass through that certain bridge in re-designing. The industrial engineers are tasked to do the job in finding the probability that certain number of heavy-duty vehicles pass through the bridge in a specific period of time. The IEs collected the data below. The IE would like to know if queuing theory is applicable in simulating the number of heavy-duty vehicles that pass through the bridge. One condition of using queuing theory is that the data must be Poisson distributed. Test at 1% level of significance if the data is collected by the IE is Poisson distributed.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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A certain bridge in Cebu is being re-constructed. The civil engineers would like to consider the number of heavy-duty vehicles that pass through that certain bridge in re-designing. The industrial engineers are tasked to do the job in finding the probability that certain number of heavy-duty vehicles pass through the bridge in a specific period of time. The IEs collected the data below. The IE would like to know if queuing theory is applicable in simulating the number of heavy-duty vehicles that pass through the bridge. One condition of using queuing theory is that the data must be Poisson distributed. Test at 1% level of significance if the data is collected by the IE is Poisson distributed.

What is the critical value?
1.96
11.07
16.81
2.56
Compute for the test statistic.
45.75
35.64
15.29
13.13
Transcribed Image Text:What is the critical value? 1.96 11.07 16.81 2.56 Compute for the test statistic. 45.75 35.64 15.29 13.13
Number of heavy-
duty vehicles that
pass through the
bridge
Observed Frequency
4
14
2
21
3
16
4
15
5
25
32
Transcribed Image Text:Number of heavy- duty vehicles that pass through the bridge Observed Frequency 4 14 2 21 3 16 4 15 5 25 32
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