Let 1,2,...,and 1,2,...,be two independent random samples from the normal distributions (,5/2)and (,5/2), respectively. (i)Construct a 100(1)%confidence interval for 3.(6marks)

Let X1, X2, ..., Xn and Y1, Y2, ..., In be two independent random samples from the normal distributions N(ux, 5/2) and N(up, 5/2), respectively. (1) Construct a 100(1 - a)% confidence interval for 3/x - My. (6 marks)