Suppose that X1, X2, , Xn and Y1, Y2, , Ym are independent random samples from normal distributions with means X and Y and known standard deviations X and Y, respectively Derive a 100(1) confidence interval for X Y ...

Begin with the statistic X Y which has ...

Suppose that X1, X2, . . . , Xn and Y1, Y2, . . . , Ym

Question:

Suppose that X1, X2, . . . , Xn and Y1, Y2, . . . , Ym are independent random samples from normal distributions with means μX and μY and known standard deviations σX and σY, respectively. Derive a 100(1−α)% confidence interval for μX − μY.