Education Technology

# Activities

• ##### Subject Area

• Math: Statistics: Displaying and Describing Univariate Data
• Math: Statistics: Normal Distributions

9-12

40 Minutes

• ##### Device
• TI-83 Plus Family
• TI-84 Plus
• TI-84 Plus Silver Edition
• TI-84 Plus C Silver Edition
• TI-84 Plus CE

## t Distributions

#### Activity Overview

Students compare the t distribution to the standard normal distribution and use the invT command to find critical values for a t distribution.

#### Key Steps

• In Problem 1, students explore characteristics of the t distribution by observing the differences between the graphs of the t distribution (red) and the standard normal distribution (blue). They will change the degree of freedom to change the sample size of the graph.

• In Problem 2, students compare areas of the standard normal distribution and the t distribution by looking at the value of the integrals over a certain interval.

• In Problem 3, students explore the critical values for a t distribution. They will find the critical values at the 95% level.