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What is the formula of the F statistic, and explain it? Explain how to calculate a p-value from the F statistic? Draw what it looks like.

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Final answer:

The F statistic is used in hypothesis testing to compare variances of groups. The p-value is calculated by comparing the F statistic to a table or using software. The F distribution graph is positive and right-skewed.

Step-by-step explanation:

The F statistic is a measure used in hypothesis testing to determine if there is a significant difference between the variances of two or more groups. It is calculated by dividing the variance between groups by the variance within groups. The formula for the F statistic is:

F = (variance between groups) / (variance within groups)

To calculate the p-value from the F statistic, you need to compare it to the F distribution table or use statistical software. The p-value represents the probability of obtaining a test statistic more extreme than the observed value, assuming the null hypothesis is true. If the p-value is smaller than the chosen significance level, usually 0.05, then the null hypothesis is rejected.

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