Imagine two studies are independently conducted regarding the same topic. Somehow, both studies find the same means and standard deviations for two groups: X̅1 = 7.00, s₁ = 2.00, and X₂ = 5.00, s₂ = 1.00. However, the two studies differ in the sample sizes of the two groups: Ni = 4 in the first study and Ni = 9 in the second study.

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a. Calculate the standard error of the difference (SX-x2) and the t-test for independent means for each study. 1 b. How does increasing the sample size from N; = 4 to N; = 9 affect the calculated value of the t-statistic, as well as the probability of making a Type II error?