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.

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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
What is the decision and conclusion?
There is sufficient evidence at 95% level of confidence that the data are not Poisson-
distributed
There is sufficient evidence at 95% level of confidence that the data are Poisson-
distributed
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 What is the decision and conclusion? There is sufficient evidence at 95% level of confidence that the data are not Poisson- distributed There is sufficient evidence at 95% level of confidence that the data are Poisson- distributed
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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