# Question

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

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

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