10.52 Another one of equity’s dimensions in the PISA studies is home conditions/facilities available to the student is also a factor. Does the education system succeed in adequately compensating for differences in students’ home situations? In this exercise, we will be looking at one of these home conditions: does the student have a study desk at home? Using a random sample of 500 observations from the PISA database, to be found in the data file PISA Sample, analyze the difference in means of the mathematics and reading scores of the students who have a study desk, and those who do not have the desk. In the file, 1 for Desk_to_study_at_ home indicates the presence of a desk, while 2 indicates its absence. Assume normality.