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Hypothesis test

  1. Dec 12, 2010 #1
    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
     
  2. jcsd
  3. Dec 13, 2010 #2
    You can use the chi square test [tex]\chi^2=\sum (O-E)^2/E[/tex] Do you know how to get E?
     
    Last edited: Dec 13, 2010
  4. Dec 13, 2010 #3
    I have taken all the E = [tex]\Sigma[/tex]xi/6

    Is that correct?
     
  5. Dec 14, 2010 #4
    Yes. If each I/O is taken as equally probable, 150/6=25=E.
     
  6. Dec 14, 2010 #5
    Thanks:surprised
     
  7. Dec 14, 2010 #6
    If you're being sarcastic, why did you ask for confirmation in the first place?
     
    Last edited: Dec 14, 2010
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