Unpacked Content
Knowledge
Students know:
- Techniques for producing a sampling distribution.
- Properties of a normal distribution.
Skills
Students are able to:
- Produce a sampling distribution.
- Reach accurate conclusions regarding the population from the sampling distribution.
- Accurately create and interpret a confidence interval based on observations from the sampling distribution.
Understanding
Students understand that:
- The central limit theorem in statistics states that, given a sufficiently large sample size, the sampling distribution of the mean for a variable will approximate a normal distribution regardless of that variable’s distribution in the population.
- A 95% confidence interval is a range of values that you can be 95% certain contains the true mean of the population. With large samples, you know that mean with much more precision than you do with a small sample, so the confidence interval is quite narrow when computed from a large sample.
Vocabulary
- Bootstrapping
- Population mean
- Approximately normal
- Standard deviation
- Confidence interval
