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Note that the analysis of variance F test for testing for treatment effects in a CRD with p- 2 treatments is equivalent to testing for equality of treatment means in the pooled two-sample t-test. Recall that the pooled two-sample t test statistic is given by (ni-1)sỈ + (n2-1)s n n2-2 where s2- 2, 2-i is the sample mean of the ith treatment group, s? is the sample variance of the ih treatment group, and n, is the sample size in the ith treatment group. Note that: L1 12 Show that the square of the pooled two-sample t test statistic is equivalent to the ANOVA F test statistic for testing for treatment effects in a CRD with j 2 treatments Hint: note that ni + n2

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