1. From Simulations to the Central Limit Theorem

2. Parameter: A number describing a characteristic of the population
(usually unknown)
Statistic: A number describing a characteristic of a sample.
Let’s review some vocabulary

3. In Inferential Statistics we use the value of a sample statistic to estimate a parameter value.
POPULATION: ALL Montgomery College students and estimate their mean height

4. We want to estimate the mean height of MC students.
Will x-bar be equal to mu? What if we had selected another sample? What is the variability of the x-bars about the mean mu?
What if we get another sample, will x-bar be the same?

5. What does the x-bar distribution look like?

6. How do we investigate the behavior of x-bar?
WHY WORRIED ABOUT PROBABILITIES? In inferential statistics we test claims about population means by using probabilities

7. Graph the x-bar distribution and find its mean and standard deviation