alleryStart learning →An F statistic much larger than one provides evidence that is:
AIn favour of the null
BNeutral about the null
CImpossible to interpret
DAgainst the null hypothesis
Answer & Solution
Correct answer: D. Against the null hypothesis
1. The F ratio compares between-group and within-group variance.
2. F near one means the two variance estimates agree.
3. But if F is much larger than one, then the evidence is against the null hypothesis.
4. That means at least one pair of group means differs.
5. So a large F pushes toward rejecting the null.
_Source: OpenStax Introductory Statistics 2e (CC BY 4.0), Ch 13 'The F Distribution and One-Way ANOVA', sections 13.1-13.4_
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