Question

Select the statement that best describes the relationship between an actual average sample mean versus theoretical average sample mean.

1. The actual average sample mean will almost never be exactly equal to the theoretical average sample mean, because random samples are, as their name implies, random. Over the course of many samples, the average sample mean will not approach the theoretical value.

2. The actual average sample mean will almost never be exactly equal to the theoretical average sample mean, because random samples are, as their name implies, random. Over the course of many samples, the average sample mean should approach the theoretical value.

3. The actual sample mean will always be exactly equal to the theoretical average sample mean.

4. The actual average sample mean should always be lower than the theoretical average sample mean, because there are fewer samples taken. In order to approach the actual mean the sample size will need to approach the population size.

Answer 1

Answer:

2. The actual average sample mean will almost never be exactly equal to the theoretical average sample mean, because random samples are, as their name implies, random. Over the course of many samples, the average sample mean should approach the theoretical value.