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Below you can find the standard normal distribution that was used for hypothesis testing z-scores (left) and the Fdistribution used for hypothesis testing with ANOVA
Below you can find the standard normal distribution that was used for hypothesis testing z-scores (left) and the Fdistribution 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 zdistribution. 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 Z-Distribution Standard Non-rial Distribution Probability . F-ax15 4 a a 71 O t Z a I 0 Reject regains {rad} hr alpha = 0,05 HINT: Think back to what the F statistic means and what the 2 statistic means
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