All possible samples of size n are selected from a population and the mean of each sample is determined.What is the mean of the sample means?
A)Exactly the same as the population mean
B)Larger than the population mean
C)Smaller than the population mean
D)Cannot be estimated in advance

Question

Quizplus · Accepted Answer

The mean of the sample means is known as the sample mean or the expected value of the sample means. By the Law of Large Numbers, as the sample size increases, the sample mean will approach the population mean. Therefore, the mean of the sample means is exactly the same as the population mean.

All Possible Samples of Size N Are Selected from a Population