The following model was proposed for testing whether there was evidence of salary

Chapter 11, Problem 11.102

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The following model was proposed for testing whether there was evidence of salary discrimination against women in a state university system: Y = 0 + 1x1 + 2x2 + 3x1x2 + 4x 2 2 + , where Y = annual salary (in thousands of dollars), x1 = $ 1, if female, 0, if male, x2 = amount of experience (in years). When this model was fit to data obtained from the records of 200 faculty members, SSE = 783.90. The reduced model Y = 0 + 1x2 + 2x 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 = .05.

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