2
$\begingroup$

Hi all I have a question about Hypothesis test, could you please help me?

If $X_{1},X_{2},\ldots,X_{n}$ are independent, where $X_{i}$ is $N(\theta_{i},1)$ , find the critical region and power function for the Most Powerful test of size $\alpha$ of

$H_{0}:\theta_{1}=\cdots=\theta_{n}=0$ against $H_{1}:\theta_{1}=\cdots=\theta_{r}=\frac{1}{2} , \theta_{r+1}=\cdots=\theta_{n}=-\frac{1}{2}$

  • 0
    What do you know about Most Powerful tests? Surely your book mentions them2011-12-12

0 Answers 0