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Below you can nd the standard normal distribution that was used for hypothesis testing z-soores (left) and the F-distribution used for hypothesis testing with ANOVA
Below you can nd the standard normal distribution that was used for hypothesis testing z-soores (left) and the F-distribution used for hypothesis testing with ANOVA (right). Each are used for hypothesis tesitng, but they look quite different. For example, the F-distribution starts at 0 and has no negative values. whereas it's possible to get negative values on the z-distribution. Furthermore, the most common outcome under the null for the F distribution is around 1, while it's around 0 in the z-distribution. If they are both testing the hypothesis that there are no differences between groups (H0), why do they look so different? F-distribution Distribution 3* E s .D E O.- F-axis 0 Standard Normal Distribution 4 4a 2 1 u 1 2 a 4 Reject nago'lns (red) for alpha = 0.05 HINT: Think back to what the F statistic means and what the 2 statistic means
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