The Following Minitab Display Results from a Study in Which

question 34

Essay

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

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Definitions:

Radiolarians

Those actinopods that secrete elaborate shells of silica (glass).

Axopods

Long, filamentous, cytoplasmic projections characteristic of actinopods.

Silica Shells

Rigid, protective, outer coverings made of silica found in certain algae and microscopic aquatic organisms, such as diatoms.

Algal Endosymbionts

Algae living within the cells or body cavities of another organism in a mutualistic relationship, contributing to the host's nutrition, especially in corals and some marine animals.