Answer to Question #103786 in Statistics and Probability for Biraj Chhetri

Question

Let X have a p.d.f. of the form:


f(X, θ) =(1/θ)e^(-x/θ), 0<x<∞, θ>0
=0. Elsewhere

To test H0: θ=2, against H1: θ=1, use the random sample x1, X2 of size 2 and define a critical region:
W={(X1, X2) :9.5≤ X1 + X2}

Find i) Power of the test. ii) Significance level of the test.

Answer 1

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