Let X1,X2,…,Xn be a random sample from a continuous distribution with the probability density function, for lambda0, f(x)=begincases2lambda xe^-lambda x^2, & x0, 0, & otherwise.endcases To test the hypothesis H0:lambda=frac12 against H1:lambda=frac34 at the level alpha (0<alpha<1), which of the following statements is (are) TRUE?

Q40Section B (Section B)40 of 60

Most powerful test for a Weibull-type scale

Let $X_1,X_2,…,X_n$ be a random sample from a continuous distribution with the probability density function, for $\lambda>0$ ,

$f(x)=\begin{cases}2\lambda xe^{-\lambda x^2}, & x>0,\ 0, & \text{otherwise.}\end{cases}$

To test the hypothesis $H_0:\lambda=\frac12$ against $H_1:\lambda=\frac34$ at the level $\alpha (0<\alpha<1)$ , which of the following statements is (are) TRUE?

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.

Keyboard: A–D answer · S solution · ←/→ previous/next