I'd like to offer a different perspective even though what everyone is saying is also true.

I have been riding a heavy steel Masi for about a decade. I recently as an over 50 rider bought a carbon fiber endurance bike. Is it faster? Yes! Every segment I ride it on is a personal record even without trying. The reason everyone is correct is it isn't a lot faster. What's faster is accelerating (it feels instantaneous) and hills which feel like you are just dancing up them. Once up to speed on a straight the bike is only slightly faster mainly do to aerodynamics which is why I could keep up with my carbon fiber friends on my old steel bike. The thing is while only a little bit faster I'm a lot less wiped out not spending all that energy accelerating and climbing.

I would ride the new bike. My guess is it will put a big smile on your face. If it does buy it and enjoy having fun riding a 1-2mph faster. If it doesn't then you can happily keep riding the Schwinn.