Repeat Problem 8.71 for the following hypothesis test: H0: X is Gaussian with μ=0 and ^2 unknown

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Accepted Answer

Step 1: Define the hypotheses for the test.  u000AWe have the null hypothesis u005C( H_0: X u005C) is Gaussi

Repeat Problem 8.71 for the following hypothesis test: $H_0: X$ is Gaussian with $\mu=0$ and $\sigma_X^2$ unknown $H_1: X$ is Gaussian with $\mu>0$ and $\sigma_X^2$ unknown. Let $n=9, \alpha=5 \%, \sigma_X=1$, and $\mu=k / 2, k=0,1,2, \ldots, 5$.