Twenty Colleges Each Recommended One of Its Graduating Seniors for a Prestigious

question 16

Essay

Twenty colleges each recommended one of its graduating seniors for a prestigious graduate fellowship. The process to determine which student will receive the fellowship includes several interviews. The gender of each student and his or her score on the first interview are shown below. $$\begin{array}{l}\begin{array} { c l c } \hline \text { Student } & \text { Gender } & \text { Score } \\\hline 1 & \text { Male } & 18 \\2 & \text { Female } & 17 \\3 & \text { Female } & 19 \\4 & \text { Female } & 16 \\5 & \text { Male } & 12 \\6 & \text { Female } & 15 \\7 & \text { Female } & 18 \\8 & \text { Male } & 16 \\9 & \text { Male } & 18 \\10 & \text { Female } & 20 \\\hline\end{array}\\\\\begin{array} { c l c } \hline \text { Student } & \text { Gender } & \text { Score } \\\hline 11 & \text { Female } & 17 \\12 & \text { Male } & 16 \\13 & \text { Male } & 16 \\14 & \text { Female } & 19 \\15 & \text { Female } & 16 \\16 & \text { Male } & 15 \\17 & \text { Female } & 12 \\18 & \text { Male } & 14 \\19 & \text { Female } & 16 \\20 & \text { Female } & 18 \\\hline\end{array}\end{array}$$ a. Suppose you want to use gender to model the score on the interview y. Create the appropriate number of dummy variables for gender and write the model. b. Fit the model to the data. c. Give the null hypothesis for testing whether gender is a useful predictor of the score y. d. Conduct the test and give the appropriate conclusion. Use α = .05. 12.8 Models with Both Quantitative and Qualitative Variables (Optional) 1 Write and Interpret Model with Quantitative and Qualitative Variables

---

Definitions:

Profit

The financial gain obtained when the amount earned from a business activity exceeds the expenses, costs, and taxes involved in sustaining the activity.

Consideration

An item of worth provided by each party involved in a contract, motivating them to agree to swap obligations reciprocally.

Ownership Right

The legal right to possess, use, control, and dispose of property or an asset.

Possessory Right

This term refers to the right of an individual or entity to possess or control a certain property or asset.