Question 1

a) Does the "mean" of the sampling means always equal to that of the population mean? Discuss

b) As the size of the sample increases, the sampling distribution of the sample means is approximately normal. Why? Explain

c. What is the Central Limit Theorem? How large should the sample size be if the underlying distribution of the population values are:

i)Normally distributed (discuss).

ii) Non-normally distributed. (discuss)

Question 2

What is the difference, if any, between the standard deviation of the sample means and the standard error of the sample means? Discuss