Hypothesis Tests Concerning Variance

The chi-square test statistic (𝜒²). Asymmetrical, df = n − 1, bounded below by 0.

The F-test. Test Statistic for Tests Concerning Differences between the Variances of Two Populations (Normally Distributed Populations). H₀: = 1. Suppose we have two samples, the first with n₁ observations and sample variance, the second with n₂ observations and sample variance.

[Practice Problems] A chi-square test is most appropriate for tests concerning:

A.       a single variance.

B.        differences between two population means with variances assumed to be equal.

C.        differences between two population means with variances assumed to not be equal.

[Solutions] A

A chi-square test is used for tests concerning the variance of a single normally distributed population.