Answer:
The correct option is (e).
Step-by-step explanation:
The hypothesis for the ANOVA test can be defined as follows:
H₀: The different study strategies does not have any effect on the SAT scores of students, i.e. μ₁ = μ₂ = μ₃.
Hₐ: At least on of the strategy have an effect on the SAT scores of students, i.e. at least one of the means is not same as the others.
The output the ANOVA test is:
Analysis for variance of SAT :
Source DF SS MS F p-value
Group 2 625.2 312.6 11.43 0.000
Error 30 820.7 27.4
Total 32 1445.9
The p-value of the test is very small for all the commonly used significance level. The null hypothesis will be rejected at any commonly used significance level.
Conclusion:
There is enough evidence to support the claim that at least on of the strategy have an effect on the SAT scores of students.
This implies that the three mean SAT scores are not all equal and the SAT scores are related to learning strategy.
Thus, the correct option is (e).