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 TomJerry Dec12-10 09:18 PM

Hypothesis test

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 $$\chi$$2 = (O-E)2 / E

where O - obsevred and E is expected

Is this correct or should i be using some other method

 SW VandeCarr Dec13-10 01:39 AM

Re: Hypothesis test

Quote:
 Quote by TomJerry (Post 3034490) 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 $$\chi^2=\sum (O-E)^2/E$$ Do you know how to get E?

 TomJerry Dec13-10 08:29 PM

Re: Hypothesis test

Quote:
 Quote by SW VandeCarr (Post 3034760) You can use the chi square test $$\chi^2=\sum (O-E)^2/E$$ Do you know how to get E?
I have taken all the E = $$\Sigma$$xi/6

Is that correct?

 SW VandeCarr Dec14-10 01:43 AM

Re: Hypothesis test

Quote:
 Quote by TomJerry (Post 3036282) I have taken all the E = $$\Sigma$$xi/6 Is that correct?
Yes. If each I/O is taken as equally probable, 150/6=25=E.

 TomJerry Dec14-10 08:41 PM

Re: Hypothesis test

Quote:
 Quote by SW VandeCarr (Post 3036728) Yes. If each I/O is taken as equally probable, 150/6=25=E.
Thanks:surprised

 SW VandeCarr Dec14-10 09:24 PM

Re: Hypothesis test

If you're being sarcastic, why did you ask for confirmation in the first place?

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