Question

Which Test those cases should use?

A: one sample z-test    B: one-sample t-test   C: t-test for the difference between means for two related samples  D: t-test for the difference between means for two independent samples with homogeneity of variance  E: t-test for the difference between means for two independent samples with heterogeneity of variance   F: a one sample z-test for proportions (or a chi-square goodness of fit)   G:  chi-square goodness of fit only (where a one sample z-test of proportions isn’t appropriate) H: a two-sample z-test for the difference between proportions (or a chi-square test of independence) I:  chi-square test of independence only (where a two-sample z-test for the difference between proportions isn’t appropriate.)  J:  simple regression             K: multiple regression L:  one-way ANOVA M: two-way ANOVA N: Mann-Whitney O:  Wilcoxon P: none of the above.

1.

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?

Pop Culture:    65           52           90           72           59           79           80           68           76

Education:        65           74           87           96           84           80           82           89           75

2.

Does watching Barney increase altruism in children? Amanda put nine kids in a room where they watched Barney and another nine kids is a quiet room without television. Then the kids filled out a questionnaire that determined their altruism score (which we can assume to be interval). The scores are:

                Barney: 43, 55, 63, 57, 77, 65, 84, 73, 66

                Quiet:     67, 55, 74, 63, 56, 33, 45, 53, 47

3.In the United States, ten percent of the population has blond hair. We want to see if the population of Greenland is also ten percent. What test does she use?

4.Does the presence of more species of plants increase the productivity of a natural area, as measured by the total mass of plant material. The number of plant species was controlled. There were 100 plots of land; each had either 1, 4, or 16 species of plants.

5.A marathon runner is curious to find whether or not temperature affects the time it takes to run a marathon. A sample of forty marathoners is observed; they all run the same marathon, one runner starting ten minutes after another runner so that they all run at different temperatures. Temperature and time of run are recorded.

6.Kristy wants to measure UC’s intelligence. She measures this by showing people a map and seeing whether or not they can tell her where Djibouti is. The four UCs she tests are UCLA, UCD, UCI, and Berkeley. She is doing a significance test to see if there is a difference between campuses.

7.Arlene thinks that the agricultural output of a farm is affected by how many days a farmer works and the size of the farm. What type of test does she use?

Answer 1

1)

  C: t-test for the difference between means for two related samples

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2)

D: t-test for the difference between means for two independent samples with homogeneity of variance  

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3)

H: a two-sample z-test for the difference between proportions

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4)

L:  one-way ANOVA

5)

J:  simple regression  

6)

L:  one-way ANOVA

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7)

M: two-way ANOVA

..........

Please let me know in case of any doubt.

Thanks in advance!

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