One-way analysis of variance is being used to test the equality of three population means using samples of size 10 from the first population, 12 from the second population and 8 from the third population.The test statistic (F_stat) is 4.280.What is the critical value (F_c) for the test if the significance level is 5%? A)3.354 B)2.922 C)2.960 D)3.316

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Quizplus · Accepted Answer

The critical value for an ANOVA test depends on the degrees of freedom between groups (numerator) and within groups (denominator), and the significance level. Here, with three groups and significance level of 5%, and given the sample sizes (which lead to degrees of freedom of 2 for between groups and 27 for within groups), the correct critical value from F-distribution tables is 3.354.

One-Way Analysis of Variance Is Being Used to Test the Equality