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Y is a random variable pdf h(y) = (1/(y+ theta)^3) * 2 * theta^2 y >0,...

Y is a random variable pdf

h(y) = (1/(y+ theta)^3) * 2 * theta^2 y >0, theta >0

Using a single observation, test

H_0 : Theta = 1

H_a : theta > 1

Find a uniformly most power critical region for test if alpha = .05

Then find the power of test if theta = 2.5

Math   Statistics-And-Probability   
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