Use the Data in the Given Table and the Corresponding

question 53

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

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Definitions:

Capital Accounts

Capital accounts represent the owners' or shareholders' equity in a company, reflecting the initial and additional investments minus withdrawals and losses.

Income Sharing

An agreement to distribute earnings or profits among participants, often seen in partnership arrangements or cooperative businesses.

Gains and Losses

Financial terms referring to the money made or lost on the sale of assets, separate from the ordinary operations of the business.

Cash Distribution

The payment of earnings or capital to the members, partners, or shareholders of a company or an organization.