Consider a very small population with only five individuals. The values of a variable for this population are 1, 2, 4, 4, 9.
a) Determine the mean and variance of the sampling distribution for the sample mean of samples of size 2 by calculating the means of all
5 2 possible samples of a simple random sample.
b) Compare your results with Corollary 4.3.3.
c) Repeat this for an iid sample.