Statistics > Confidence Intervals > 1-Population Variance

This utility computes the confidence intervals for a population variance in one population. The confidnece intervals are calculated using the following formula:

where

n = sample size
s = sample standard deviation
&sigma2 = variance
= inverse cumulative probability of the Chi-square distribution at α/2.
= inverse cumulative probability of the Chi-square distribution at 1 - α/2.



To use the utility, select Statistics > Confidence Intervals > 1-Population Variance.

The sample size, variance, and standard deviation are displayed, along with the resulting confidence interval for variance and standard deviation. Here is an example:

Confidence Interval - One population variance: confidence level = 0.95
Input: Summary data

NVarianceStdev95.00%CI Variance95.00%CI Stdev
10010.0003.162(7.7090, 13.4949)(2.7765, 3.6735)