A survey is conducted that includes several hundred students at a large university, all taking an introductory statistics course. Proportions of students in the various year and gender categories are typical of those for college students in general.
a. Suppose that we are interested in the students' math SAT scores. Which of these is the largest population for which we can say the surveyed students probably constitute a representative sample: all humans, all college students, all students at that university, or all introductory statistics students at that university?
b. Suppose we are interested in the female students' heights. Which of these is the largest population for which we can say the surveyed female students probably constitute a representative sample: all females, all college-aged females, all female college students, all female students at that university, or all female introductory statistics students at that university?