# Hypothesis test

#### TomJerry

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

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#### SW VandeCarr

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?

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#### TomJerry

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

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

Yes. If each I/O is taken as equally probable, 150/6=25=E.
Thanks:surprised

#### SW VandeCarr

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

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