A social psychologist hypothesized that a white person is more likely to cooperate with another person than a black person in a task requiring cooperation (this would be considerate an alternative...

A social psychologist hypothesized that a white person is more likely to cooperate with another person than a black person in a task requiring cooperation (this would be considerate an alternative hypothesis). To test this idea he conducted an experiment in which white subjects either worked on a task with a white person or black person (both of these “others” were confederates of the experimenter). Thirty-one subjects were randomly assigned to the “white-other” treatment (say this is treatment 1) and 31 were randomly assigned to the “black-other” treatment (this is treatment 2). If the mean cooperation scores, on a scale from 0 to 20, were 14 for those subjects in the “white-other” treatment and 12 for those in the “black-other” treatment, run an appropriate test to test the social psychologist’s hypothesis. Let us further say that the variance for the cooperation measure for the “white-other” treatment was = 2.48 and the variance for the “black-other” treatment was = 2.52. Use =0.05 and run the test using the formal 5-step procedure.