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 the random variable denoting the index of the channel to which a given I/O operation is directed, that its pmf is assumed to be uniformly distributed. Out of N=150 I/O operations observed , the number of operations directed to various channels were

$\displaystyle

n_0=22, \; n_1=23, \; n_3=31, \; n_4 = 26,\; n_5=19

$

Test the hypothesis that the load on the channels is balanced at 5 percent level of signaficance