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3. (Harder question): Show that the two sample t-test statistic squared is equal to the single-factor ANOVA F statistic when there are two levels. For simplicity, assume equal sample size of n in each of the two groups. RECALL: Two sided, two independent sample pooled t-test tests the following hypotheses: The test statistic is: y2 where yi and 2 are the sample means in group 1 and 2, respectively. The pooled variance is given by 2 where s and s are the sample variances in the group i and 2, respectively, s- g u

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