In my opinion, a quality trigger ranks right out there with a quality scope and some quality ammo to get an accurate rifle. I grew up in a house of rifle-shooting freaks (my brother is really a freak), and I even shot some competitively when I was a kid.
I am amazed at how some people shoot rifles with terrible triggers (either a heavy trigger or a creepy trigger) and complain that the rifle isn't accurate. All of my rifles have a trigger set between 2.5 and 3 lbs, and I will replace a bad trigger with an after-market one if I am not satisfied.
Last summer, I bought a brand new Winchester Mod 70 in a .270. Out of the box, the trigger was over 10 lbs (no lie, I measured it)!!! I don't know if this was a manufacturing error or if the manufacturer was scared of liability with too light of a trigger. I took the rifle to Duane Spooner, and he adjusted it down to 2.5 lbs. The trigger is beautiful, nice and crisp.
Shortly thereafter, I went to MN to visit family. I hadn't shot the rifle, so I brought it along. It just so happened that my brother-in-law wanted to sight in his .308, so we headed to the range. He was having problems shooting a decent group, and he was convinced that there was something wrong with his scope. He saw the groups I shot with my .270 (with factory ammo, mind you), and asked me to shoot a group with his .308. I was amazed that his trigger was 7 to 8 lbs! How could he expect to shoot a group with that? He said that his trigger had always been like that. I told him to squeeze the trigger on my .270, and he was floored.
Anyway, his .308 was a Remington Mod 70, so adjusting it was easy. We went back to his place, adjusted the trigger down to around 3 lbs, and went back to the range. The thing shot like a dream.
Lighten your trigger, make it nice and crisp, and SQUEEEEEEEZE!