Welcome to GBO, Delmer!!
I'm one of the sickest of the sick here with 20 complete rifles plus 4 additional barrels, in calibers from 17M2 to .45-120. I've shot all but my 7mm-08 barrel as of today, the majority shoot sub moa with the right load, some I still haven't found that load for them, my .204 is one of em, it's right at 1-1¼" with factory ammo, haven't handloaded for it yet. Shot the .25-06 with factory ammo and .280 w/handloads today, neither likes to be shot real warm, the first 2 shots will be less than ½", then the 3rd will open the group to 1" or slightly less, some work with the forends is necessary, an RTV bedding job(see FAQ) is in their future before the next range visit.
For big game hunting accuracy, out of the box shooting with the right factory ammo should net you 1½" 100yd groups, the triggers on late production guns have improved a lot in the last couple yrs, I have a 2003 built 7x64 Brenneke that had a 7-8lb trigger when I got it, it's now down to 4lbs, still needs a bit more work which if you are the DIY type, isn't hard to do (see FAQ), most triggers can be honed to 2-3lbs, my lightest is 2.2lbs on the .204. The factory will do a free trigger job when you send a frame in for extra barrels, to 3-4lbs as was mentioned.
Some rifles will need a little tinkering with forend pressure and loads to shoot their best(see Woodchuck Sniper's thread), but if you're the kind that likes to do that kind of stuff, you'll be real happy, sometimes they can be a little challenging. If you're they kind that expect a sub moa group right out the box, then you'll not likely get it right away, and you'll be disappointed, but for a $200 rifle, they can be very rewarding, too!
Tim