Question: Sara is going to be taking her GRE test next year, and wants toknow whether its worth it to pay for a weekend prep course.
Sara is going to be taking her GRE test next year, and wants toknow whether it’s worth it to pay for a weekend prep course. To help her decide, she recruits six of her friends who had taken aprep course and six who did not, and made a totally unwarrantedassumption that the presence or absence of the prep course was allthat distinguished them. Sara then recorded their scores onthree 10-point GRE tests (analytical writing, verbal reasoning, andquantitative reasoning). The scores were as follows:
| Analytical (B1) | Verbal (B2) | Quantitative (B3) | |
| NO GRE prep (A1) | 4 | 6 | 5 |
| 3 | 4 | 4 | |
| 5 | 5 | 4 | |
| 3 | 6 | 5 | |
| 4 | 5 | 5 | |
| 5 | 4 | 3 | |
| YES GRE prep (A2) | 6 | 9 | 7 |
| 8 | 7 | 6 | |
| 8 | 9 | 7 | |
| 7 | 8 | 9 | |
| 7 | 7 | 9 | |
| 8 | 6 | 8 |
- What type of ANOVA design is this? (Do not carryout the actual analysis.) (3)
- Is this an experimental or quasi-experimental design, and why?(2)
- What are the dependent and independent variables?(3)
- What are nAi, nBj andnAiBj? (6)
- Based on your graphing of the interaction of the data, describewhether or not Sara should pay for the GRE course. Provide aconclusion. (9)
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