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-   -   Hypothesis test (http://www.physicsforums.com/showthread.php?t=456198)

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 [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

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 [tex]\chi^2=\sum (O-E)^2/E[/tex] 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 [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?

SW VandeCarr Dec14-10 01:43 AM

Re: Hypothesis test
 
Quote:

Quote by TomJerry (Post 3036282)
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.

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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