The following model was proposed for testing whether there
Chapter 11, Problem 102SE(choose chapter or problem)
The following model was proposed for testing whether there was evidence of salary discrimination against women in a state university system:
\(Y=\beta_{0}+\beta_{1} x_{1}+\beta_{2} x_{2}+\beta_{3} x_{1} x_{2}+\beta_{4} x_{2}^{2}+\varepsilon\)
where
When this model was fit to data obtained from the records of 200 faculty members, SSE = 783.90. The reduced model \(Y=\beta_{0}+\beta_{1} x_{2}+\beta_{2} x_{2}^{2}+2\) was also fit and produced a value of SSE = 795.23. Do the data provide sufficient evidence to support the claim that the mean salary depends on the gender of the faculty members? Use\(a=.05\).
Equation transcription:
Text transcription:
Y=beta{0}+\beta{1} x{1}+beta{2} x{2}+beta{3} x{1} x{2}+beta{4} x{2}^{2}+\varepsilon
Y=beta{0}+beta{1} x{2}+beta{2} x{2}^{2}+2
a=.05
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