Let X1,X2,...,Xn be a random sample with E(Xk) = 1.5 and Var(Xk) = 9. Another random sample Y1,Y2,...,Yn is selected, independent of the previous sample. The new sample has E(Yk) = 2 and Var(Yk) = 4. Both samples have sample size n = 100.

c) Find the value ? > 0 such that: P(| Y hat ? X hat |< ?) = 0.95
d) Find the minimum value n such that P(| Y hat ? X hat|< 0.1) ?0.95

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