A group of physics students is trying to investigate which method of heat transfer, convection or conduction, is most responsible for the cooling of a hot beverage. The students fill two identical poorly-insulated paper cups with hot water ($100^\circ \text{C}$). One cup has a thick insulating lid and the other does not have a lid. The cups are left in a large room at $23^\circ \text{C}$. After twenty minutes the students measure the temperature of the water in the cups. The cup with the lid was $85^\circ \text{C}$. The cup without the lid was $79^\circ \text{C}$.

Based on this evidence alone, what can the students conclude about the energy lost by convection and conduction and why?