Let X1,?,Xn be a random sample of size n from an exponential distribution, Xi~EXP(1,?). A test of H0:?=?0 vs. \eta_0"...

LetX1,?,Xn be a random sample of sizen from an exponential distribution,Xi~EXP(1,?). A test ofH0:?=?0 vs. \eta_0" src="https://lms.au.af.edu/equation_images/H_a%253A%255Ceta%2520%2526gt%253B%2520%255Ceta_0" /> is desired, based onX(1). Find a critical region of sizea of the form{x(1)=c}.