Nope it wont fix the problem, but it'll tell you if you have a problem with your ram. Its a very good test, burn it to cd or use a floppy to use it...
http://www.memtest86.com/
If you find you do have alot of errors its ram rma time! Had to rma 2 sticks for a pc I put together for someone a couple of weeks ago. Pc was randomly rebooting / unstable etc..