The Following Minitab Display Results from a Study in Which

question 25

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 class size 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:

Low-Mach

Refers to individuals who are not manipulative or deceitful and generally operate with honesty and integrity.

Manipulate

To control or influence something or someone cleverly, unfairly, or unscrupulously.

Extraversion

A personality trait characterized by high levels of sociability, assertiveness, talkativeness, and excitability among individuals.

Introvert

A person characterized by a preference for solitary activities and environments where stimulation is minimized, often reflective and reserved in nature.