Central Limit Theorem

Overview

In previous activities you have sampled candies, rolled dice, and performed Minitab simulations to discover that while the value of a sample statistic varies from sample to sample, there is a very precise long-term pattern to that variation. In the last activity you learned how to use normal distributions to perform probability calculations. This topic brings those two ideas together through the Central Limit Theorem. This result asserts that the long-term pattern of the variation of a sample proportion is that of a normal distribution. You will examine implications and applications of this theorem in detail, focusing on how it lays the foundation for widely used techniques of statistical inference.