Open the applet "Sample from a population" athttps://media.pearsoncmg.com/cmg/pmmg_mml_shared/animations/statistics/west_applets_HTML5/popsample.html

1. For this exercise, set "Select distribution" to "Right skewed". The distribution of the population should appear as a decreasing curve spanning the horizontal axis (0 to 50) with a mean 14.0519, median 10.7484, and standard deviation 11.8255.
2. The textbook states that "when a distribution is skewed right, the mean is greater than the median", and that is consistent with the population here. By referring to the definitions or interpretations of mean and median, briefly explain why this is true for a right-skewed distribution like this.
3. Enter "20" into the "Sample size" box and the click the "Sample" button in the upper left corner. What is the mean of the sample?
4. Enter "200" into the "Sample size" box and the click the "Sample" button in the upper left corner. What is the mean of the sample?
5. Enter "2000" into the "Sample size" box and the click the "Sample" button in the upper left corner. What is the mean of the sample?
6. Did increasing the sample size result in better or worse approximations of the population and its mean. Do you think that this is unusual? Explain why or why not?