For the independent-measures $t$ statistic, what is the effect of increasing the sample variances? Decrease the likelihood of rejecting $H_0$ and decrease measures of effect size Decrease the likelihood of rejecting $H_0$ and increase measures of effect size Increase the likelihood of rejecting $H_0$ and increase measures of effect size Increase the likelihood of rejecting $H_0$ and decrease measures of effect size
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Step 1: The independent-measures $t$ statistic is given by $$t = \frac{(\bar{X}_1 - \bar{X}_2) - (\mu_1 - \mu_2)}{s_p \sqrt{\frac{1}{n_1} + \frac{1}{n_2}}}$$ where $s_p$ is the pooled standard deviation, which is calculated as $$s_p^2 = \frac{(n_1 - 1)s_1^2 + (n_2 Show more…
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