Let X1, . . . , Xn be a random sample from an exponential distribution with the density...

Let X₁, . . . , X_n be a random sample from an exponential distribution with the density function f (x|θ) = θ exp[−θ x]. Derive a likelihood ratio test of H₀: θ = θ₀ versus H_A: θ ≠ θ₀, and show that the rejection region is of the form