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Suppose that X1, #2 and variance 0 (a) Find a} 7 )7). (b) 2 1\"] _ #2 Find in} 7 l7). 2 X . .. X and Y Y . . 2. . m 1, 2. 2. The difference between the sample means, )7 V, is then a linear combination of m + n normally distributed random variables and, by this theorem, is itself normally distributed. X ., Y,1 are independent random samples, with the variables Xi normally distributed with mean [11 and variance a 1 2 and the variables Y1 normally distributed with mean ((2) Suppose that all : 8, 022 : 1.5, and rn : n. Find the minimum sample sizes so that (7 7 T0 will be within 1 unit of ([11 7 #2) with probability 0.95. (Round your answer up to the nearest integer.) m=n=_x You may need to use the appropriate appendix table or technology to answer this