It's either an AI or AIS.
If you look at the lens mount with the meter prong at the 12 o'clock position. There's a groove at ~9 o'clock. If it's an AIS it will have a small groove just above and slightly inside the groove. If there's no groove, it's an AI lens.
Does the lens focus correctly on the F3? You can check at the film plane by putting a ground glass or even frosted scotch tape on the rails and check focus there.
If they don't agree, the image at the rails is correct. There's a possibility that the set screws holding the focusing ring weren't tight enough and allowed the ring to move slightly. The fix is this: peel the rubber grip off, find the screws, loosen them set the focusing ring at the infinity stop(without moving the barrel) and snug the screws down. They're right around 1mm screws, use a small screwdriver.=)
Just saw the pic, The lens in the pic is a non-AI lens but yours is a lens that has been AI'd. Likely
from when Nikon was offering the service.