The test statistic used to test hypotheses about the population variance is given by c ² = ( n - 1)s ² \ s ², which is chi-squared distributed with n - 1 degrees of freedom when the population is normally distributed with variance equal to s ² .

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The test statistic for testing hypotheses about a population variance, $(n - 1)s^2 / \sigma^2$, follows a chi-squared distribution with $n - 1$ degrees of freedom, assuming the population from which the sample is drawn is normally distributed.

The Test Statistic Used to Test Hypotheses About the Population