Question: Physics graduate student Laura Van Ertia has conducted a complete randomized design with a single factor, hoping to solve the mystery of the unified theory and complete her dissertation. The results of this experiment are summarized in the following ANOVA display:

Answer the following questions about this experiment:

1. The sum of squares for the factor is __________________
2. The number of degrees of freedom for the single factor in the experiment is __________________
3. The number of degrees of freedom for error is______
4. The mean square for error is ______
5. The value of the test statistics is ______
6. If the significance level is 0.05, will you reject the null hypothesis that all levels have equal effects? You do not need to do the calculation. Just describe how you will solve this problem. Specifically, which statistics (in the ANOVA table) will you use to compare with what critical value(s), and what your conclusion will be in difference scenarios?
7. Laura used________________ levels of the factor in this experiment
8. Laura replicated this experiment ________________________times
9. Supposed that Laura had actually conducted this experiment as randomized complete block design and the sum of squares for blocks was 12. Reconstruct the ANOVA display above to reflect this new situation. How much has blocking reduced the estimate of experimental error?

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