5.51 Prison Isolation experiment, Part II: Exercise 5.37 introduced an experiment that was conducted with the goal of identifying a treatment that reduces subjects' psychopathic deviant T scores, where this score measures a person's need for control or his rebellion against control. In Exercise 5.37 you evaluated the success of each treatment individually. An alternative analysis involves comparing the success of treatments. The relevant ANOVA output is given below.
| Df | Sum Sq | Mean Sq | F value | Pr(>F) | |
|---|---|---|---|---|---|
| treatment | 2 | 639.48 | 319.74 | 3.33 | 0.0461 |
| Residuals | 39 | 3740.43 | 95.91 |
(a) Write the hypotheses for testing for a difference between the average number of hours spent on child care across educational attainment levels.
Ho:
Ha:
(b) What is the conclusion of the test? Use a 5% signi cance level.
(c) If in part (b) you determined that the test is significant, conduct pairwise tests to determine which groups are different from each other. If you did not reject the null hypothesis in part (b), recheck your answer.