Use the Data in the Given Table and the Corresponding

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. $$\begin{array} { l r c r c c } \text { Source } & D F & \boldsymbol { S S } & \boldsymbol { M S } & \boldsymbol { F } & \boldsymbol { p } \\\text { Teacher } & 2 & 56.93 & 28.47 & 1.018 & 0.404 \\\text { Class Size } & 4 & 672.67 & 168.17 & 6.013 & 0.016 \\\text { Error } & 8 & 223.73 & 27.97 & & \\\text { Total } & 14 & 953.33 & & &\end{array}$$