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. Large-sample inferences about the differences (p1 – p2) between binomial proportions, using a two-sample z -statistic
e. Inferences about the ratio σ12/σ22 of two population variances, using an F –test