Hypothesis tests that use the F distribution do not depend on the assumption that the populations are normally distributed as long as the sample sizes are large.

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Hypothesis tests that use the F distribution, such as ANOVA, generally assume that the populations from which samples are drawn are normally distributed. This assumption is less critical when sample sizes are large due to the Central Limit Theorem, but it is not completely disregarded.

Hypothesis Tests That Use the F Distribution Do Not Depend