MA19.A2.32 | ALEX

Mathematics (2019) Grade(s): 09-12 - Algebra II with Statistics

Students know:

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.

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.