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

question 113

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.
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 $\alpha = .05$ .

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Definitions:

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Preventive measures taken to protect the eyes from diseases, injuries, or other harmful conditions.

Patent Airway

An airway that is open and unobstructed, allowing for the free passage of air into and out of the lungs.

Identification

The process of recognizing or establishing the identity of a person or object, often through comparison and analysis.

Phytonadione

A form of vitamin K which is used to treat and prevent cases of deficiency or to reverse the effects of blood thinning medications.