One-Group t-Test for the Mean

  • Thomas QuirkEmail author


This chapter explains how to use one of the most popular and most helpful statistical tests in educational and psychological research: the one-group t-test for the mean. This test compares the mean of your data set against the hypothesized population mean for your data to determine if the difference between these two values is “large enough” to be considered a “significant difference.” The formula is presented and explained, and a practical example is given using your calculator. Seven steps are outlined for using this formula to test specific hypotheses about your data. These steps build on the hypothesis-testing steps you learned in Chap. 3 of this book. You will also learn how to find the absolute value of a number, how to find the critical value of t in the table given in Appendix E of this book, and how to state both the result and conclusion of your statistical test. In addition, the difference between the 95% confidence interval about the mean (Chap. 3) and the one-group t-test is explained. Three practice problems are given at the end of the chapter to test your Excel skills, and the answers to these problems appear in Appendix A of this book. An additional practice problem for each chapter is presented in the Practice Test given in Appendix B along with answers in Appendix C of this book.


Research Hypothesis Decimal Place Number Format Practice Problem Confidence Range 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


  1. Zikmund, W.G. and Babin, B.J. Exploring Marketing Research (10th ed.) Mason, OH: South-Western Cengage Learning, 2010.Google Scholar
  2. Foster, D.P., Stine, R.A., Waterman, R.P. Basic Business Statistics: A Casebook. New York, NY: Springer-Verlag, 1998.zbMATHCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media, LLC 2012

Authors and Affiliations

  1. 1.School of Business and TechnologyWebster UniversitySt. LouisUSA

Personalised recommendations