17. Video: Two Useful Theorems - Central Limit Theorem

The Central Limit Theorem states that with a large enough sample size the sampling distribution of the mean will be normally distributed .

The Central Limit Theorem actually applies for these well known statistics:

1. Sample means ( $\bar{x}$ )
2. Sample proportions ( $p$ )
3. Difference in sample means ( $\bar{x}_1 - \bar{x}_2$ )
4. Difference in sample proportions ( $p_1 - p_2$ )

And it applies for additional statistics, but it doesn't apply for all statistics! . You will see more on this towards the end of this lesson.