(Steps Shown) (1.5 marks) Suppose that the random variable, X , has density function f(x)=θ e^-θ x , x > 0, > 0. We wish to test the hypothesis
Question: (1.5 marks)
Suppose that the random variable, X , has density function
\[f(x)=\theta {{e}^{-\theta x}}\] , x > 0, > 0.We wish to test the hypothesis
H 0 : = 2
H 1 : = 3
on the basis of one observation on X .
Derive the Neyman-Pearson optimal critical region, assuming =0.10.
Deliverable: Word Document 