Let X1, . . . , Xn iid Exp() and Y1, . . . , Ym iid Exp( ) be independent random samples.

8. Let X1, ..., Xn ~ iid Exp()) and Y1, ..., Ym ~ iid Exp(7) be independent random samples. (a) Find the restricted MLEs under the null hypothesis Ho : 1 = T. (b) Write out a formula for the LRT statistic, and describe how you could perform this test asymptotically