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**novice** You are given a uniform pmf, which mean that $\displaystyle p_0 = p_1 = p_2=p_3=p_4=p_5 =\frac{1}{6}$

The expected means $\displaystyle \mu_0=\mu_1=\mu_2=\mu_3=\mu_4=\mu_5= Np$

$\displaystyle \sigma = \sqrt{Npq}$

Use a two-tailed test at the 0.05 significance level and adapt the following decision rule:

Accept $\displaystyle H_0$ if **all** z scores of the sample mean is inside the range $\displaystyle z_{0.05}$ to $\displaystyle z_{0.95} $, i.e, all channels are balanced.

Reject $\displaystyle H_0 $ otherwise.