In a population with N=6, the values of yi are 8,3,1,11,4, and 7. Calculate the sample mean y(bar) for all possible simple random samples of size 2. Verify that y(bar) is an unbiased estimate of Y(bar) and that its variance is as given in Theorem 2.2. --> S²/n * (N-n)/N

For the same population, calculate s² for all simple random samples of size 3 and verify that E(s²) = S².

If someone could explain this to me in some detail because it has been a while since I have done this stuff.