Sneak Attack Damage is not included in the damage range when hovering over an enemy. It is also rolled separately.

I checked it out with my level 1 rogue hovering over an intellect devourer:
Shortbow (1d6)
Dex 16(+3)
Damage range: 4-9

When doing a sneak attack the combat log has two entries next to each other:
X piercing damage (1d6+3 with all the attack and damage roll explanation) <-weapon attack roll and damage
Y piercing damage (simply 1d6) <- sneak attack damage roll

When you say your sneak attack damage is "5-13 (1d4+2, 1d6+1)" - where does the +1 come from. The additional sneak attack damage for rogues is only a number of d6 (based on the rogues level) - without any modifiers.