Well this is one thing I found that is grossly incorrect:
If the water pump apparent "short cycle" is say 1-3 minutes this may be all your system can provide. If however something has changed, and the pump used to run longer, say 2-5 minutes, I suspect loss of air in the pressure tank or an internal problem in the tank (like a hole in the bladder if it's a "captive air" pressure tank). The problem of lost air in the water pressure tank along with how to correct that condition are discussed beginning at SIGNS OF AIR LOSS.
If the "short cycle" is very short, clicking on and off, there could be a different problem with the pump control pressure switch or with a dirty, clogged water filter if one is installed on the system. Dirty water filters as a source of rapid pump on-off cycling are discussed at CAUSES OF SHORT CYCLING.
They also say a PR valve is used to protect the tank... not necessarily so.
And I rooted around in their softener info and they're incorrect in some things there too...