Confidence Limits for Single Sample Mean

To calculate confidence limits for single sample mean

 

Confidence limits for single sample mean

You can calculate this with:

$$ \bar{x} \pm t_{\alpha (2), df} \sqrt{\frac{s^2}{n}} $$
$$ \bar{x} \pm t_{\alpha (2), df} s_\bar{x} $$

where Xi is the mean of each sample, tα(2),v is the t value for the confidence range,  with a(2) significance and v degrees of freedom.   The n is the number of samples taken. Note the last part of the equation is the standard error.

Also See:

Chapter 9 - One-Sample Hypotheses pages 100-102 in:

Zar, J. H. 2007. Biostatistical Analysis. Prentice-Hall, Inc. Englewood Cliffs, New Jersey. 718 pp.
Creative Commons License
This work is licensed under a Creative Commons Attribution-Noncommercial 3.0 United States License.

Author: Dr. David R. Larsen
Created: August 17, 1998
Last Updated: December 12, 2019