The following ANOVA table shows the results of a study in which three different teachers taught calculus classes of five different sizes.The class average was recorded for each class.Assuming no effect from the interaction between teacher and class size,test the claim that the teacher has no effect on the class average. 
Definitions:
Factorial Design
An experimental design method used in statistics that allows the investigation of the effects of multiple factors by varying them together.
Replication
The process of repeating a study or experiment to confirm the findings of the original study.
Completely Randomized
A design of experiments where all the experimental units are allocated at random among all the treatments.
Degrees of Freedom
The number of independent values or quantities that can vary in an analysis without violating any constraints.
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