If the population variances are exactly equal, the sample F test statistic will be zero.

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Quizplus · Accepted Answer

If the population variances are exactly equal, the F test statistic will still have a non-zero value as it also takes into account the sample sizes and sample variances. The formula for the F test statistic is F = sample variance1 / sample variance2, where sample variance1 and sample variance2 are the variances of two independent samples. Therefore, even if the population variances are equal, the sample variances may still differ and thus result in a non-zero F test statistic.

If the Population Variances Are Exactly Equal, the Sample F