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:

Inventory

Items held by a company for sale in the ordinary course of business or to be used in the production of goods sold.

Contra-Revenue Accounts

Accounts used to record reductions in gross revenue, such as sales returns, allowances, and discounts, to arrive at net revenue.

Gross Profit

The financial metric calculated by subtracting the cost of goods sold from total sales revenue, representing the efficiency of a company in managing its production and sales.

Perpetual System

An inventory system that records the sale or purchase of inventory immediately through the use of computerized point-of-sale systems and enterprise asset management software.