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 pz
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
followup 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.
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Questions, comments, difficulties? See our
technical support page or contact us: wise@cgu.edu.
