Suppose that a population consists of the following elements:

8

6

11

2

3

From this population, supposed that you want to draw all possible samples of size 2, without replacement.

a) Calculate the value of mean of the population as well as the standard deviation of the population.

b) How many samples are there? List down all possible samples.

c) Calculate the mean of the sampling distribution of means. What can you say with the resulting value with the first part in a? Explain

d) Calculate the standard error of means. Verify that it actually illustrates