Administrators at a state university computed the mean GPA (grade point average) for juniors and seniors majoring in either physics or chemistry. The results are displayed in the table below. When juniors and seniors are grouped together, could physics majors have a higher mean GPA than chemistry majors?

No. The physics majors' mean GPA for juniors and seniors must be 3.0, while the chemistry majors’ mean GPA for juniors and seniors must be 3.3.

No. There is not enough information to determine the mean GPA for each major, but it must be higher for chemistry majors than for physics majors.

Yes. It could happen. Whether it does happen depends on the number of juniors and seniors in each major.

Yes. It could happen. Whether it does happen depends on the variability of the GPAs within each of the four groups of students.