MA19.MM.17

Mathematics (2019) Grade(s): 09-12 - Mathematical Modeling

MA19.MM.17
Use the Statistical Problem Solving Cycle to answer real-world questions.

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

Design by Adaptive Theme