Question

A professor at UCI wants to see what students really remember from their elementary school days, the stuff that was taught or the stuff that was popular at the time. She put together two tests, one with elementary school education questions and one about pop culture from that time. She got a sample of 9 students and had them take both tests. What test does she use?

1. t-test for the difference between means tor two independent samples with heterogeneity of variance.
2. simple regression.
3. t-test for the difference between means for two related samples.
4. a one sample z-test for proportions for a chi-square goodness of fit).
5. one sample z-test.
6. a two-sample z-test for the difference between proportions for a chi-square test of independence).
7. multiple regression.
8. one-sample t-test.
9. ANOVA
10. Mann-Whitney.
11. chi-square goodness of fit only where a one samplez-test of proportions isn't appropriate).
12. chi-square test of independence only (where a two-sample z test for the difference between proportions isn't appropriate).
13. t-test for the difference between means for two independent samples with homogeneity of variance.
14. Wilcoxon.

Answer 1

3. t-test for the difference between means for two related samples.

Explanation:

It is given that a professor of UCI wishes to study what really the students remember from their elementary school days and other such stuffs that were very popular at that time.

therefore the professor put forward two test. In one of the test, he put some question from the elementary school and in other he put one question about a pop culture from that time. He used the same sample for both the tests.

So, since the professor involved the same set of students in his experiment for both the tests, so both the samples are related samples.

Therefore, the test uses is a t - test that is used for the difference between the related samples.