Hypothesis test

  • Thread starter TomJerry
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Question : A computer system has 6 I/O channels and the system personnel are reasonably certain that the load on channels is balanced. If X is random variable denoting the index of the channel to which a given I/O operations is directed , that its pmf is assumed to be uniformly distributed. Out of N=150 I/O operation onserved, the number of operations directed to various channels were:
n0 = 22 ; n1 = 23 ; n2 = 29 ; n3 = 31 ; n4 = 26 ; n5 = 19

Test the hypothesis that the load on channels is balanced at 5 percent level of significance.

Solution
I have used the [tex]\chi[/tex]2 = (O-E)2 / E

where O - obsevred and E is expected

Is this correct or should i be using some other method
 

Answers and Replies

  • #2
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Question :

where O - obsevred and E is expected

Is this correct or should i be using some other method
You can use the chi square test [tex]\chi^2=\sum (O-E)^2/E[/tex] Do you know how to get E?
 
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  • #3
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You can use the chi square test [tex]\chi^2=\sum (O-E)^2/E[/tex] Do you know how to get E?
I have taken all the E = [tex]\Sigma[/tex]xi/6

Is that correct?
 
  • #4
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I have taken all the E = [tex]\Sigma[/tex]xi/6

Is that correct?
Yes. If each I/O is taken as equally probable, 150/6=25=E.
 
  • #6
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If you're being sarcastic, why did you ask for confirmation in the first place?
 
Last edited:

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