7.45 CLT for custom population Access the Sampling Distribution for a Sample Mean web app and select Build Own as the shape for the population distribution. By typing numbers into the text field, you can create your own population distribution. Repeating a number several times will make the population distribution more peaked around that number. Create a population that is very far from bell-shaped. With it, simulate the sampling distribution of the sample mean by using 10,000 simulations.

Explain how the shape and variability of the simulated sampling distribution changes as n changes from 2 to 5 to 30 to 100. Explain how the central limit theorem describes what you have observed. (Note that the app allows you to download the graphs for the population, data, and simulated sampling distribution.)