## Lesson 13: Sampling Distributions and the Central Limit Theorem

October 17, 2018

Review:

- Design of Experiments
- Census and Sampling
- Sampling and Surveys

Presentation:

- Sampling Distributions
- Take multiple Simple Random Samples, sample size = n, and calculate each sample mean
- “Sampling Distribution” is the distribution of sample means
- Standard deviation of sample means =
**s/√n** - Figure 5.8 on p. 336:

- Example 5.18 on p. 338

- Central Limit Theorem
- Simple random samples of size n from
**any**population with mean μ and finite standard distribution σ. When n is large (typically ≥ 30), the sampling distribution of the sample mean is approximately**Normal**. - Example 5.19 on p. 339

- Simple random samples of size n from
- Video

Activity:

- Complete Exercises 5.36, 5.37, 5.38, 5.39 on pp. 336-340
- Read pp. 335-344, Sampling Distribution of a Sample Mean