- Students will interpret a confidence level as the degree of confidence in the process used to produce an interval that will contain the true mean of the population.
- Students will recognize that as the confidence level increases, on average the confidence interval increases in width. (CCSS Mathematical Practices)
- Students will reason abstractly and quantitatively (CCSS Mathematical Practices)
- confidence interval
- confidence level
- population parameter
About the Lesson
This lesson involves generating a confidence interval for the mean of a population from a random sample of size n and considering how certain one can be that this interval would contain the actual population mean.
As a result, students will:
- Experiment with different confidence levels and finally investigate the relationship between confidence levels and sample size.
- Use the actual population mean to check their estimates and to develop an understanding of the meaning of confidence level.