uuca'uuua 1. Show that the two sample t-test statistic squared (equal variance case) is equal to the single-factor AN OVA 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 ttest tests the following hypotheses: Ho=#1:m; lepnpz The test statistic is: where l7] and la are the sample means in group I and 2, respectively. The pooled variance is given by SZ+SZ 2 l 2 S' 7 " .._ -. 2 where S? and SE, are the sample variances in the group 1 and 2, respectively, S? : W