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.

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Author: Dr. David R. Larsen
Created: August 17, 1998
Last Updated: September 17, 2014