Sampling is important in the determination of estimates of unknown population parameters. From our repeated sampling ofnobservations from our population, we determine measures, such as sample means and sample variances, to estimate population parameters: the population mean (m...mu) and population variance (s2...sigma squared), respectively. The repeated sampling of n observations allows us to then create a distribution of sample means, and then calculate the average of the sample means as well as the standard deviation of sample means. Now, consider an experiment where I collect 50 different samples of various sample sizessay n= 10, 20, 50, 250, 500. Thus, I collect-- 50 samples of size n=10, 50 samples of size n=20, etc. I then calculate the average of the 50 sample means and the standard deviation of those sample means. Which of the following statements is generally true? (Choose 1)

1. As n decreases, the average of sample means increases.

2. As n increases, the standard deviation of sample means increases

3. As n decreases, the standard deviation of sample means increases

4. As n increases, the standard deviation of sample means does not change

5. None of the above