Solve by using inference with two populations

Public officials in Canada want to determine if they should mandate the use of helmets for bike riders. The final decision depends on the passing distance of automobiles for bike riders using helmets vs. not using helmets. The officials decided that they will require helmets if the passing distance for bike riders using helmets is larger than the passing space of riders not using helmets by at least half a meter (yes, Canadians using that crazy metric system!). The officials collected data on the passing distances (in meters) for bike riders with and without helmets.

With a helmet: 1 = 1,206, 1 = 1.75, 1 = 0.705 Without a helmet: 2 = 1,149, 2 = 1.045, 2 = 0.8

Based on these data, should officials mandate the use of helmets for bike riders in Canada? Use your knowledge of statistics to help them decide their policy.