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1. Suppose that we have two independent random samples X1, ..., Xn are exponential(0) and Y1, . .., Ym are exponential(/). (a) Find the LRT

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1. Suppose that we have two independent random samples X1, ..., Xn are exponential(0) and Y1, . .., Ym are exponential(/). (a) Find the LRT of Ho : 0 = u versus H1 : 0 # M. (b) Show that the test in Part (a) can be based on the statistic T = E: Xi E: Xi + : Yi

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