4. Derive the mean and variance of the t distribution. 5. Suppose that X1, X2,Xm and Y1,Y2, Yn are independent random samples from N(ux,o. and N(uy,o), respectively. a. Find E(X - Ỹ). Find V(Y

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topic: Sampling Distributions and the Central Limit Theorem

4. Derive the mean and variance of the t distribution.
5. Suppose that X1, X2, , Xm and Y1,Y2,· … , Yn are independent random samples from N (µx, o%)
and N(µy, o}), respectively.
a. Find E(X – Ỹ).
b. Find V(X – Ỹ)
Transcribed Image Text:4. Derive the mean and variance of the t distribution. 5. Suppose that X1, X2, , Xm and Y1,Y2,· … , Yn are independent random samples from N (µx, o%) and N(µy, o}), respectively. a. Find E(X – Ỹ). b. Find V(X – Ỹ)
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