Question: Let X1,...,Xn be a random sample from N(1,12). Let Y1,...,Yn be a random sample from N(2, 2). Besides, Xi is independent of Yj for all

Let X1,...,Xn be a random sample from N(1,12). Let Y1,...,Yn be a random sample from N(2, 2). Besides, Xi is independent of Yj for all i, j. In addition, 1, 2 , 12, 2 are unknown, but 12 = 2.Please derive the 100(1)% confidence interval for 31 42, using the pivotal quantity method

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