- #1

wtmoore

- 21

- 0

## Homework Statement

I have taken a random sample such that X~N(8,2).

I want to use the samples that I have generated to estimate E(xbar), E(s

^{2}), E(α

^{2}

_{1}) and E(α

^{2}

_{2}) for the population.

## Homework Equations

## The Attempt at a Solution

I am not entirely sure how to do these.

I know that for a random variable, E(x)= (x1 + x2 ... +xn)/n, but I am not sure if this is the same for a sample/xbar.

I have googled and can't find the formulas, does anyone know them here?

I know for s^2 that E(s^2) = E[{sum(i to n) (xi-xbar)^2}/(n-1)]

so now I can bring the 1/(n-1) out front of the E, but I'm not sure how the summation acts.

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