73. Given two independent random samples, X₁, X2,..., Xm from N(μx, oz) and Y₁, Y2, ..., Yn from N(μy, o),how are the following functions of this sample distributed? You may assumeX =O==(a) X-Y(b)mmΣX₁, sxi=1(X-Y)-(HX-HY)=m4 Eur1m-1i=11-Σ(X₁-X)², Y ==nni=1Y and s-1n-112-Σ(Yi-Y)²i=1

Let X1,X2,...Xm from Nμx,σx2 and Y1,Y2,....,Yn from Nμy,σy2.…

Answered: 73. Given two independent random…

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73. Given two independent random samples, X₁, X2, ..., Xm from N(μx, oz) and Y₁, Y2, ..., Yn from N(μy, o), how are the following functions of this sample distributed? You may assume m 1 X = ΣΧ., Sk m i=1 (a) X-Y = 1 m-1 m Σ(x − x), Y = i=1 1 n n i=1 Y and s = 1 n-1 n Σ(Yi-Y)² i=1