# Activities

• • • ##### Subject Area

• Math: Statistics: Hypothesis Tests

• ##### Author 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
• ##### Report an Issue

Comparing Two Means #### Activity Overview

Students test hypotheses concerning means of two populations by calculating the test statistic and the critical values and graphing the critical region.

#### Key Steps

• Students calculate the test statistic using the given formula on the worksheet. They will determine the critical value by using the invNorm command from the DISTR menu.

• Comparing the test statistic and critical value, students decide whether to reject or fail to reject the null hypothesis. Then they use the ShadeNorm command to find the P-value, confirming their decision about the hypothesis.

• At the end of this activity, students will be able to compare two means for a real-life scenario. They calculate the test statistics, critical values, and P-values. They will also learn to use the 2-SampZTest command to calculate the P-value instead of the ShadeNorm command.