Question: 21. The F-test statistic compares the variance between the groups to the variance within the groups. Explain how the variance between the groups is calculated

21. The F-test statistic compares the variance between the groups to the variance within the groups. Explain how the variance between the groups is calculated and what it tells us. Explain how the variance within the groups is calculated and what it tells us. How can we use the variance between and the variance within to calculate the F-test statistic?

22. If the variance between the groups were significantly larger than the variance within, would the F-test statistic be large or small? Explain why.

23. If the variance between the groups were about the same as the variance within, would the F-test statistic be large or small? Explain why.

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