Chardonnay Felix

2020-11-22

List the assumptions necessary for each of the following inferential techniques:
a. Large-sample inferences about the difference $({\mu}_{1}-{\mu}_{2})$ between population means using a two-sample z-statistic
b. Small-sample inferences about $({\mu}_{1}-{\mu}_{2})$ using an independent samples design and a two-sample t-statistic
c. Small-sample inferences about $({\mu}_{1}-{\mu}_{2})$ using a paired difference design and a single-sample t-statistic to analyze the differences
d. Large-sample inferences about the differences $({\mu}_{1}-{\mu}_{2})$ between binomial proportions using a two sample z-statistic e. Inferences about the ratio $\frac{{\sigma}_{1}^{2}}{{\sigma}_{2}^{2}}$ of two population variances using an F-test.

Liyana Mansell

Skilled2020-11-23Added 97 answers

a) Assumptions large sample inferences about the population difference between population means using two sample z-tests. We have three conditions as follows:

1) The two samples are independent.

2) Two samples are large samples that is

b) Assumptions small sample inferences about the population difference between populations means using independent sample design We have three conditions as follows

1) Independent random samples

2) Both populations are normal

3) Both populations are having equal variances, that is

c) Assumptions required to small sample inferences about

1) Random sample of paired differences

2) Populations of difference are normal Here,

d) Assumptions required to large sample inferences about the differences

1) Independent random samples

2)

3)

e) Assumptions required to inferences about the ratio

1) Independent samples.

2) Both populations normal

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