Question: Suppose you are comparing three groups with a quantitative response. You calculate an F-statistic and determine a p-value. Now suppose the standard deviations for your

Suppose you are comparing three groups with a quantitative response. You calculate an F-statistic and determine a p-value. Now suppose the standard deviations for your three groups increase, yet the three group means do not change. What will happen to the F-statistic and p-value?

A. They will both increase.

B. They will both decrease.

C. The F-statistic will increase, and the p-value will decrease.

D. The F-statistic will decrease, and the p-value will increase.

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