Journal of Applied Mathematics
Volume 2013 (2013), Article ID 131424, 4 pages
Research Article

The Probability of a Confidence Interval Based on Minimal Estimates of the Mean and the Standard Deviation

The Louisiana Accelerator Center, The University of Louisiana at Lafayette, LA 70504-4210, USA

Received 22 January 2013; Revised 9 May 2013; Accepted 11 May 2013

Academic Editor: Jin L. Kuang

Copyright © 2013 Louis M. Houston. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Using two measurements, we produce an estimate of the mean and the sample standard deviation. We construct a confidence interval with these parameters and compute the probability of the confidence interval by using the cumulative distribution function and averaging over the parameters. The probability is in the form of an integral that we compare to a computer simulation.