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:
Test the hypothesis that the load on channels is balanced at 5 percent level of significance.
You have small sample, Student t-test would be good. If you prefer, you may do F-test, or Chi-square test too.
Take a look at an example here:
http://www.mathhelpforum.com/math-he...s-testing.html
I got it when X is a binomial distribution and N is very large and probability of individual trails is close to 1/2 is can be seen that with increasing n these distribution approaches a normal distribution which can be expressed as
z = as
Thanks mite
cheers to every one for helping me with this problem