I don't know the specifics for the 3060, but in general the cable signal at the back of the TV should be greater than 0db. 6db would be really good, but anything between 0-6db should do for normal viewing, so I suspect that the 3060 should be near that range. If you can get better than 6db, thank the cable gods.
Remember that splitters cut the signal, so if you have 6db at the wall and run it through a splitter, that might knock you down to 0db!!!
If you need an amplifier to boost the signal, it should go outside your house before the splitter that feeds the whole house. The signal outside should be between 6db and 10db, the higher the better outside, mine is 13db. If you try to boost a signal at the wall, the signal must be at least 1db or you will end up with too much static. I wouldn't even consider boosting at that wall though.
If the signal is very high at the box (out in the yard) and the signal at the house isn't very good, the cable company can replace the underground line from the box to the house. That might help, but they will be resistant to doing that because it requires another service call in most cases.
If the signal outside the house is good, but the signal inside the house is bad, then maybe you can replace the inside wiring to increase signal strength.
Let me know what they say the signal is. Also, if you can, watch the tech when they take the readings. Normally, the tech will just say, "That signal is fine." and will not tell you the actual reading. I had a tech tell me that a -5db signal was in the normal range. This was at the box in the yard. I told him he should call his supervisor and ask what the reading should be. The supervisor told him it should be 13db....