Does Muscle Weigh More than Fat?

No, they are the same pound for pound.
A pound of fat and a pound of muscle weigh exactly the same- 1 pound. Muscle tissue is more DENSE than fat tissue, meaning that the pound of muscle takes up less space than the pound of fat. This is why a person who is 130 lbs. and 20% body fat looks a lot smaller (leaner) than a person who is 130 lbs. and 30% body fat.
Remember, it is not how much your weigh but what your body fat is!