The argument that best supports the student's claim that box 1 must have a smaller mass than box 2 is:
Lighter objects need less force than heavier objects to start moving but will accelerate at the same rate.
This statement indicates that since the same force is applied to both boxes and assuming box 1 accelerates more than box 2, box 1 must have a smaller mass (as per Newton's second law, \( F = ma \)). If both boxes were subject to the same force and box 1 accelerates, then it indicates that box 1 is indeed lighter (smaller mass) compared to box 2.