Problem regarding the simpson paradox

Assignment Help Basic Statistics

Reference no: EM131031542

Problem: A college looks at the grade point average (GPA) of its full-time and part-time students. Grades in science courses are generally lower than grades in other courses. There are few science majors among part-time students but many science majors among full-time students. The college finds that full-time students who are science majors have higher GPAs than part-time students who are science majors. Full-time students who are not science majors also have higher GPAs than part-time students who are not science majors. Yet part-time students as a group have higher GPAs than full-time students. This finding is

Required:

(i) not possible: if both science and other majors who are full-time have higher GPAs than those who are part-time, then all full-time students together must have higher GPAs than all part-time students together.

(ii) an example of Simpson's paradox: full-time students do better in both kinds of courses but worse overall because they take more science courses.

(iii) due to comparing two conditional distributions that should not be compared.

Reference no: EM131031542

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