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Use the Data in the Given Table and the Corresponding

Question 157

Essay

Use the data in the given table and the corresponding Minitab display to test the hypothesis. The_
following Minitab display results from 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. Use a 0.05 significance level.  Source DFSSMSFp Teacher 256.9328.471.0180.404 Class Size 4672.67168.176.0130.016 Error 8223.7327.97 Total 14953.33\begin{array} { l r c r c c } \text { Source } & D \boldsymbol { F } & \boldsymbol { S S } & \boldsymbol { M S } & \boldsymbol { F } & \boldsymbol { p } \\\text { Teacher } & 2 & 56.93 & 28.47 & 1.018 & 0.404 \\\text { Class Size } & 4 & 672.67 & 168.17 & 6.013 & 0.016 \\\text { Error } & 8 & 223.73 & 27.97 & & \\\text { Total } & 14 & 953.33 & & &\end{array}

Correct Answer:

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H0 : There is no teacher effect. H₁ : Th...

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