Education Technology

# Activities

• ##### Subject Area

• Math: Statistics: Statistical Inference

9-12

30 Minutes

• ##### Device
• TI-Nspire™ CX/CX II
• TI-Nspire™ CX CAS/CX II CAS
• TI-Nspire™
• TI-Nspire™ CAS
• ##### Software

TI-Nspire™
TI-Nspire™ CAS

3.2

## Chi-Square Distributions

#### Activity Overview

Students compare the Chi-Square distribution to the standard normal distribution and determine how the Chi-Square distribution changes as they increase the degrees of freedom.

#### Key Steps

• In Problem 1, students will explore the characteristics of the Chi-Square Distribution. They will increase the degree of freedom to investigate the effect on the graph. As the degrees of freedom increase the distribution becomes less skewed and more symmetric.

• Problem 2 gives students the opportunity to explore the critical values for a Chi-Square Distribution. They find the area between the critical values by selecting the Integral tool and then selecting the left and right critical points.

• In Problem 3, students construct a confidence interval. They find the standard deviation of the sample. Students are to determine if the weights given in the problem are consistent, that is, the differences are acceptable.