The argument that best supports the student's claim is:
Heavier objects need greater force than lighter objects to accelerate at the same rate.
This statement implies that if both boxes experience the same force but have different accelerations, the box that accelerates more (Box 1 with 10 m/s²) must have a smaller mass compared to the box with the lesser acceleration (Box 2 with 5 m/s²), which aligns with the student's conclusion.