Random samples of size 2 are drawn from a finite population which consists of the numbers 2,4,6 and 8.
a.)List all the possible samples that can be drawn without replacement from this population,calculate their means and, assigning each of these values with their corresponding probability,construct the sampling distribution of the mean for the random samples of size 2 from the population.Calculate the mean and the standard deviation of the sampling distribution obtained in part (a) and verifies using Central Limit Theorem.