Consider the testing problems for mu based on a sample from N(mu,1): P1: H0:mu=mu0 vs H1:mumu0, qquad P2: H0:mu=mu0 vs H1:muneqmu0 . The UMP level alpha test exists:

Q133Section III (Statistics)133 of 180

Existence of UMP tests: one-sided versus two-sided

Consider the testing problems for $\mu$ based on a sample from $N(\mu,1)$ :

$P_1: H_0:\mu=\mu_0 \text{ vs } H_1:\mu>\mu_0, \qquad P_2: H_0:\mu=\mu_0 \text{ vs } H_1:\mu\neq\mu_0 .$

The UMP level $\alpha$ test exists:

Pick an option to check your answer.

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