1. Select a skewed theoretical distribution and clearly state the distribution and parameters of the distribution that you have chosen.

2. Sample from your chosen distribution at least 1000 times and plot the histogram. Does it look like you would expect it to based on your chosen theoretical distribution?

3. Sample from your distribution and take the mean of the sample. Takes samples of size 5, 15 and 30. Do this 10, 100, and 1000 times. Plot the histograms that result from each of these experiment combinations. You should have 9 histograms in the end; (sample size = 5, simulations = 10), (sample size = 5, simulations = 100), (sample size = 5, simulations = 1000), (sample size = 15, simulations = 10), (sample size = 15, simulations = 100), (sample size = 15, simulations = 1000), (sample size = 30, simulations = 10), (sample size = 30, simulations = 100), (sample size = 30, simulations = 100).

4. What happens to the shape of the distribution as your sample size approaches 30 and the number of simulations approaches 1000?

5. What is the random variable for which you are creating a distribution in the previous step? What is the theoretical distribution of this random variable?