Theorem 3: Let x - (x1, X2 - m-, Xyo. sample variance S. Also, let y = (Y, Y ..yp m m,Ya) be a data set with a sample mean ỹ and a sample variance S3. Finally, let z = x- y such that z- (X1- Yı, X2 – y2 -- . X - Y... ., Xn – Yn). „X„) be a data set with a sample mean i and a .X - y Xn - Yn) Show that i -i .

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A: It is an important part of statistics. It is widely used.

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A: Given that the mean of aX+bY is 3  So,  E(aX+bY)=3aE(X)+bE(Y)=3a(1)+b(2)=3a+2b=3a=3-2b ..........(Eq…

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A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case…

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