List the assumptions necessary for each of the following inferential techniques:
a. Large-sample inferences about the difference (μ1 – μ2)between population means, using a two-sample z -statistic
b. Small-sample inferences about (μ1 – μ2), using an independent samples design and a two-sample t -statistic
c. Small-sample inferences about (μ1 – μ2), using a paired difference design and a single-sample t -statistic to analyze the differences
*d. Inference on comparing three treatment means, μ 1, μ 2 and μ 3 .
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