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Statistics: Confidence Levels for Means
by Texas Instruments - Action Consequence, TI Math, TI-Nspire Navigator Lesson

Published on October 26, 2011

Objectives

  • 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)

Vocabulary

  • 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.