Question: You are interested in studying the effects of home environment on academic performance. In particular, you hypothesize that the marital status of one’s parents affects academic performance among adolescents. To evaluate this hypothesis, you recruit 50 students from a local high school. You record information regarding the marital status of their parents (married, separated/divorced, or never married) as well as their scores on the most recent standardized test (0-100). After deciding to analyze your data using Analysis of Variance, you produce the following table. Assume .

1. Fill out the missing parts of the ANOVA table. Show all work.
2. State the null and alternative hypotheses to test the claim that standardized test scores differ by parents’ marital status. Make sure you define any variables that you use. It is not sufficient to just use Greek letters without defining them!
3. Choose the appropriate value from the ANOVA table that co nvert s the data to the appropriate test statistic.
4. Compare the test statistic from c) to the critical value of the appropriate known distribution and calculate the corresponding p-value range (based on the Sullivan table). Based on this, will you reject or fail to reject the null hypothesis?
5. Interpret your findings in the context of the study using a 5% level of significance.
6. Regardless of your response to e), assume your results indicated that the mean test scores differ by group. Given these results, can you draw any conclusions about which groups are different? Why or why not?

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