I'm not too sure on the tolerance question but as far as stringing it goes, that sig bass is a fender right? If so you want to wind the tuner so the string winds in a downward spiral towards the base of the tuning peg. That way when it comes off the nut, it gets more tension. The correct amount of tension I suppose you'd say. Oh and if it has that thing in the headstock to feed the D and G string, talk about a noobie haha, you want the spiral to go downward but keep at the top of the tuning peg. Example below:
Not sure if I did the greatest job myself on this one
but hopefully this helps.