Sampling Distribution of the Mean Tutorial

Goals of this tutorial: This tutorial will help you determine how accurate a sample mean is likely to be, and how this accuracy is related to the sample size. Brief reviews of the normal distribution and the Central Limit Theorem are included as supplemental materials.

What do I need to know? To make best use of this tutorial, you should have an understanding of basic statistics such as the mean and standard deviation and know how to find probabilities on a normal distribution, either with a z table or a computer program.

What do I need? You may print out the Exercise pages (or just the answer sheet) before starting the tutorial, or you may choose to enter your answers online into the textboxes and then print out the Exercise pages after completing the tutorial. For certain calculations, you may use either your own table for the standardized normal distribution (z) or the WISE p-z converter provided by this tutorial. Java and JavaScript must be enabled on your browser.

After completing Exercise 1, you may complete the interactive review questions and also download and answer the follow-up questions.

Answers to questions: You will be asked to answer questions along the way. Approximate answers and hints are provided so you can check your work. Detailed solutions are available, but you should try to answer the questions on your own before consulting the detailed solutions. You will learn much more by doing the exercise questions yourself than if you merely read them and the answers.

Begin Exercise 1.