Use the Data in the Given Table and the Corresponding

question 38

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

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Definitions:

Induction

A method of reasoning in which specific instances or observations lead to a general conclusion or principle.

Deduction

A logical process in which a conclusion follows necessarily from the set of premises; it starts with a general statement and reaches a specific conclusion.

Meaningful Action

Behavior that is purposeful and directed towards achieving an individual's goals, often reflecting personal values and beliefs.

Data Collection

The process of gathering and measuring information on targeted variables to answer relevant questions and evaluate outcomes.