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Better Understanding Confidence Intervals

Randy Gallaher
Lewis & Clark Community College

Course

MATH 145 (Elementary Statistics)

Description

This module will help students better understand confidence intervals. Students will use the RandNorm function on the TI-83 graphing calculator to generate random samples of size 30 from a normal distribution with population mean µ = 100 and population standard deviation Θ= 20. The sample mean will then be calculated for the random sample and a 0.90 confidence interval will be placed around it. Students will then determine whether or not the falls within the confidence interval found. This process will be repeated 20 times. Students will then calculate the percentage of the confidence intervals that did in fact contain µ = 100. Each student's results will then be grouped with the results of other students in the class. Students will then calculate the class percentage of the confidence intervals that actually contained µ = 100. The result should be approximately 90%.

Students are then asked to repeat the process for 0.80 and 0.95 confidence levels.

Transferability

This module will transfer to any introductory statistics class or any class that discusses confidence levels.




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© The Illinois Community College Board, Illinois Board of Higher Education, and Illinois State Board of Education, in conjunction with a Preparing Tomorrow's Teachers to Use Technology (PT3) grant from the U.S. Department of Education, funded this project to infuse technology into the core curriculum at Illinois community colleges and universities.