Recall that in the statistical model of discrimination, employers observe

$,$ where:

$.$ You can think of

as test score or GPA.

is the true productivity of the individual. Recall that

is distributed normal, with mean $0$ and variance

$.$ Finally, recall that since employers do not know

$,$ they operate according to the following:

$.$ What happens to

$,$ the weight placed on the observed

$,$ when the variance of the error term,

$,$ increases?