Let X have a p.d.f. of the form:
f(X, θ) =(1/θ)e^(-x/θ), 00
=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.
Please fix the following input errors: