In a two-tailed hypothesis test involving two population variances, if the null hypothesis is true then the F-test statistic should be approximately equal to 1.0.

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When the null hypothesis is true in a two-tailed hypothesis test involving two population variances, it implies that the two variances are equal. The F-test statistic, which is the ratio of the two sample variances, should therefore be approximately equal to 1.0, indicating no significant difference between the population variances.

In a Two-Tailed Hypothesis Test Involving Two Population Variances, If