Thank you for your reply!
Please, do not apologize for a thorough and very good answer! Although I do adjust my guitars myself, I still appreciate the input!
I live on the West Coast of Norway, and to tell you the honest truth... I would prefer the climate to be a lot dryer than it is!
It's rather wet and somewhat cold.
When I got the bass it had very old and bad strings, my guess is they have been there for 15+ years. I have taken off the neck and it's sitting in my music room with the other instruments. I've checked the neck, and it's perfectly fine. There's a little too much bow to the neck when put under string tension (as it was when it arrived, but the truss rod works perfect both ways, and I see no problem at all getting the bass to play nicely again! The neck is straight and has no unnatural bending or twisting to it.
The truss rod has a brass nut under the cover on the headstock, as opposed to the more modern versions that have the dual action truss rods with an allen adjustment screw at the top. So I think it's probably important to be careful when adjusting. So that's a very good point indeed. I usually also put the bass on the floor and "help out" with my hands/knees to bend the neck in the direction I want, so it's not the only the pressure added by the truss rod that does the job.
Thanks again