Asked by Lance Watkins on Jun 02, 2024

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A study compares four groups with six observations in each group.How large does the F statistic need to be for rejecting the null hypothesis at the 5% significance level?

A) 2.78
B) 2.87
C) 3.01
D) 3.10

F Statistic

A statistical measure that determines the ratio of variance between groups to variance within groups in the context of ANOVA tests.

Significance Level

The threshold below which a p-value is considered statistically significant, often set at 0.05 or 5%.

  • Gain an understanding of and perform calculations for the F statistic in the context of ANOVA.
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ZK
Zybrea KnightJun 08, 2024
Final Answer :
D
Explanation :
The critical value for F statistic with 3 degrees of freedom in numerator and 20 degrees of freedom in denominator at 5% level of significance is 3.10. Therefore, if the calculated F statistic is greater than 3.10, we reject the null hypothesis.