1. Can any one solve question d)? The answer of question c) is given as the picture showed. 2. Let
X1,X2,,Xn be a sample of size n from a distribution with a density f(x;)={22/x30ifx>0elsewhere
(a) Prove that the density of (X1,X2,,Xn) has a monotone likelihood ratio in the statistic
Z=X(1)=min(X1,X2,,Xn). (b) Find the cumulative distribution function and the density of the
statistic Z=X(1) (c) Find the uniformly most powerful -size test of H0:4 versus H1:>4. (d)
Sketch a graph of E as accurately as possible.
Then the power: E={(4)2n1if