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Statistics: Values of the F-statistic

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Case A: If all the sample means were exactly the same, what would be the value of the numerator of this F-statistic?

Case B: If all the sample means were very spread out and very different from each other, how would the variation between the sample means compare to the value in Case A?

So what values could the F-statistic take on?

Could you get an F-statistic that is negative?

What type of values of the F-statistic would support the alternative hypothesis (would lead you to reject the null hypothesis)?

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This solution helps with problems about values of f statistics.

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