11.53 The following model was proposed for testing salary discrimination against women in a state university system:

where Y annual salary (in thousands of dollars)

x2 experience (years)

Below is a portion of the computer printout that results from fitting this model to a sample of 200 faculty members in the university system:

x1 = e 1 if female 0 if male E(Y ) = b0 + b1x1 + b2x2 + b3x1x2 + b4x22 a yN = 15.3 + 0.84x1 E(Y) = b0 + b1x1

=

Ny

= -2.1 + 0.88x1 - 150x2 + 35x3

Do these data provide sufficient evidence to support the claim that the mean salary of faculty members is dependent on sex? Use a 0.05.

Transcribed Image Text:

SOURCE DF SUM OF SQUARES MODEL 4 ERROR 195 TOTAL 195 2351.70 783.90 3135.60 MEAN SQUARE 587.92 4.02 R-SQUARE 0.7500