You have a 1995 Chevy Cavalier you replaced the starter now your prob is that it cranks like a low battery but battery is new now it wont even crank?

I would double check all the connections on the starter and check the connection on the battery, as ling as all those are good I would doiuble check to make sure that you used the right amount of shims for the starter. I once forgot to put them in and it wouldn't crank. My 94 cav, needed three. Hope this helps. You need to look very closely at both ends of each battery cables. If they are corroded, dirty,etc, replace them.Make sure you sand down surface they attach/ground to so remove any paint, film, etc. It sure sounds like a connection problem to me. Good luck.