Is this coefficient estimatimate on FemaleStudent statistically significant at the 1% level? Conduct a t-test.
Is this coefficient estimatimate on FemaleStudent statistically significant at the 1% level? Conduct a t-test.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Is this coefficient estimatimate on FemaleStudent statistically significant at the 1% level?
Conduct a t-test.
![In 2010, Scott Carrell, Marianne Page, and James West published a paper that uses econometrics to understand whether professor gender impacts student performance in math and science courses. The authors collected data on student grades in introductory courses taken between 2001-2008 for each of 9,015 students. I took some liberties in simplifying their results below. The following equation describes the performance of students in introductory math and science courses in terms of whether the professor is female or not (\(FemaleProfessor\)), whether the student is female or not (\(FemaleStudent\)), and an interaction variable between professor gender and student gender (\(FemaleStudent*FemaleProfessor\)). Performance is defined as a student’s normalized grade in the course (this means you interpret changes in the performance variable in terms of the standard deviation). Standard errors are given in parentheses below the coefficients.
\[
Student\ Performance = -0.50FemaleProfessor - 0.15FemaleStudent + 0.10(FemaleStudent * FemaleProfessor)
\]
\[
(0.03) \quad\quad\quad (0.02) \quad\quad\quad\quad\quad (0.04)
\]
\(n = 22,956\)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdc0fcdf3-b9ce-4f09-a6c3-41948da6edf8%2F99bec82c-43b0-46d5-babe-15ff8c36c254%2Fygufjuo_processed.jpeg&w=3840&q=75)
Transcribed Image Text:In 2010, Scott Carrell, Marianne Page, and James West published a paper that uses econometrics to understand whether professor gender impacts student performance in math and science courses. The authors collected data on student grades in introductory courses taken between 2001-2008 for each of 9,015 students. I took some liberties in simplifying their results below. The following equation describes the performance of students in introductory math and science courses in terms of whether the professor is female or not (\(FemaleProfessor\)), whether the student is female or not (\(FemaleStudent\)), and an interaction variable between professor gender and student gender (\(FemaleStudent*FemaleProfessor\)). Performance is defined as a student’s normalized grade in the course (this means you interpret changes in the performance variable in terms of the standard deviation). Standard errors are given in parentheses below the coefficients.
\[
Student\ Performance = -0.50FemaleProfessor - 0.15FemaleStudent + 0.10(FemaleStudent * FemaleProfessor)
\]
\[
(0.03) \quad\quad\quad (0.02) \quad\quad\quad\quad\quad (0.04)
\]
\(n = 22,956\)
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