The P-value associated with the calculated F value in an ANOVA is the area to the right of the calculated value under an F distribution curve.

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This is true. The p-value is the probability of observing a test statistic as extreme as the calculated F value, or more extreme, assuming the null hypothesis is true. This probability is calculated as the area to the right of the calculated F value under an F distribution curve.

The P-Value Associated with the Calculated F Value in an ANOVA