The size of groups that can be reasonably expected should be .5" or better at 50 yards with good ammo, that is ammo that shoots well in the rifle. Bulk ammo does not qualify.
Expectations of accuracy, or rather predictions of accuracy, should be qualified. If the barrel is on the good side, then the predictions should be reasonable. There is no guarantee that each and every barrel produced by any manufacturer will be among its best. Fortunately, Anschutz barrels have a good reputation for accuracy.
I had an Anschutz 64 MSR made in 2015. It is essentially the same as the 1903 MSR, with the same receiver and barrel, but a few cosmetic changes with the stock. It was accurate and shot .5" and better at 50 yards.
The 1903 MSR is described as a match action by Anschutz. That's a bit of a misnomer, however, as Anschutz describes many (or all?) of its repeaters as "match action". The true match action rifles are the single shot 54 action models with match chambers, which are tighter than those on repeaters.