If x=(x1,x2,xn) is a random sample with size n taken from population has pdf F(x)(x,theta)=e^-(x-theta) ;x>theta .Find the MPT with size alpha and its power function for testing H0: theta=theta0 H1:theta=theta1>theta 0

If x=(x1,x2,xn) is a random sample with size n=5 taken from population has Poisson (theta ) .Find the MPT with size alpha=0.03 and its power function for testing H0:theta=0.2 H1: theta=0.4