Kristin, how old are you?
 
There is a way to train the bully chick not to peck and chase the new chick, but you need to be mature about this.
 
You need to accept that this is natural behavior in chicks, and a human can intervene only so much, and it might not always be the best thing. So you need to be able to control your emotions for starters.
 
I've had the problem of a chick pecking the the others' feathers and trying to yank them out. When the bully chick starts misbehaving, you can give it a little quick poke on its back, and do it each time it engages in this behavior.
 
Be very careful you aren't too forceful as baby chicks are very fragile.
 
It would be helpful if you went back and read all the comments on your thread a few more times until the information sinks in.