It looks like the part is around $160.00 and it pays about a half hour to install. So, depending on the labor rate of the shop, I'd say around $200 or so.
A great website to use to look up repair prices is http://repairpal.com/
Unfortunately they don't have a repair listed for a stabilizer bar. But if you ever need to look up anything else, it's a great resource.
As always, don't be afraid to shop around. Once you know the problem you can call and ask prices for parts and labor at different shops. Good luck.
〉 Answered on Dec 2nd, 2008 by Lori Johnson, Owner and Instructor at Ladies Start Your Engines