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The Following ANOVA Table Shows the Results of a Study

Question 16

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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.  Sum ofMean Source  DF  Squares  Square  F-ratio  P-value  Teacher 256.9328.471.0180.404 Class 4672.67168.176.0130.016 Error 8223.7327.97 Total 14953.33\begin{array}{l}\begin{array} { l r c c c c } &&\text { Sum of}&{ Mean }\\\text { Source } & \text { DF } & \text { Squares } & \text { Square } & \text { F-ratio } & \text { P-value } \\\text { Teacher } & 2 & 56.93 & 28.47 & 1.018 & 0.404 \\\text { Class } & 4 & 672.67 & 168.17 & 6.013 & 0.016 \\\text { Error } & 8 & 223.73 & 27.97 & & \\\text { Total } & 14 & 953.33 & & &\end{array}\end{array}

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H0: γ1 = γ2 = γ3,where γ represents the ...

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