# 3. Confidence Intervals

Published Online: 10 FEB 2012

DOI: 10.1002/9781118162934.ch3

Copyright © 2012 John Wiley & Sons, Inc.

Book Title

## Sampling, Third Edition

Additional Information

#### How to Cite

Thompson, S. K. (2012) Confidence Intervals, in Sampling, Third Edition, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/9781118162934.ch3

#### Publication History

- Published Online: 10 FEB 2012
- Published Print: 23 FEB 2012

#### Book Series:

#### Book Series Editors:

- Walter A. Shewhart and
- Samuel S. Wilks

#### ISBN Information

Print ISBN: 9780470402313

Online ISBN: 9781118162934

- Summary
- Chapter

### Keywords:

- confidence interval;
- finite-population central limit theorem;
- sampling distribution

### Summary

A confidence interval procedure uses the data to determine an interval with the property that—viewed before the sample is selected—the interval has a given high probability of containing the true population value. This chapter begins wit a discussion of confidence interval for the population mean or total. It then explains finite-population central limit theorem and sampling distributions. One way to look at the sampling distribution of an estimator those results from using a particular design with a particular population is to use a very small population and small sample size, so that every possible sample may be listed. Finally, the chapter presents notes on confidence interval computation.

#### Controlled Vocabulary Terms

central limit theorem; confidence interval; mean; sampling distribution