# Activities

• • • ##### Subject Area

• Math: Statistics: Inferential Statistics

• ##### Author 9-12

60 Minutes

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

TI Connect™

• ##### Accessories

TI Connectivity Cable

• ##### Other Materials
This is Activity 13 from the EXPLORATIONS Book:
Statistics Handbook for the TI-83

## Some Nonparametric Tests

#### Activity Overview

Students explore nonparametric tests for dependent and independent data samples.

#### Before the Activity

• See the attached PDF file for detailed instructions for this activity
• Print pages 133 - 142 from the attached PDF file for your class
• #### During the Activity

Distribute the pages to the class.

Sign Test for Two Dependent Samples:

• Enter data for two dependent samples
• Use the binomial cumulative distribution function to determine the p-value
• Test the null hypothesis based on the p-value

• Wilcoxon Signed-Ranks Test for Two Dependent Samples:
• Enter the blood pressure data of subjects before and after medication as lists
• Sort the absolute values of the differences and put the ranks in another list
• Calculate the p-value
• Evaluate the hypothesis

• Wilcoxon Mann-Whitney Test for Two Independent Samples:
• Enter the test scores of students taught using two methods as lists
• Create a list to insert the augment values
• Sort the values and insert ranks
• Determine the average rank values
• Find the number of ways of getting the ranks
• Determine the p-value and evaluate the null hypothesis

• Use normal approximation to make the calculations easy
• Determine the mean and standard deviation
• Calculate the z-score and the p-value

• Randomization Test for Two Independent Samples:
• Use the program RAN2IND to find the difference between the means of the two samples
• Plot a histogram of all the differences
• Examine the distribution and evaluate the null hypothesis
• #### After the Activity

Review student results:

• As a class, discuss questions that appeared to be more challenging
• Re-teach concepts as necessary