Let X1,…,Xn be a random sample from a N(0,sigma^2) population, sigma0. Which of the following testing problems has (have) the region (x1,…,xn)inmathbb R^n:sumi=1^nxi^2gechi^2n,alpha as the most powerful critical region of level alpha?

Q37Section B (Section B)37 of 60

Testing problems with a large-sum rejection region

Let $X_1,…,X_n$ be a random sample from a $N(0,\sigma^2)$ population, $\sigma>0$ . Which of the following testing problems has (have) the region $\left\{(x_1,…,x_n)\in\mathbb R^n:\sum_{i=1}^nx_i^2\ge\chi^2_{n,\alpha}\right\}$ as the most powerful critical region of level $\alpha$ ?

Multiple select: one or more options are correct. Select all of them, then submit — marks need the exact set.

Select every correct option, then submit.

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