First of all, when you have a stated voltage, a variation of 5% +/- will work fine. For example, on the +12 rail that would be between 11.4 and 12.6, so the 11.37v is below standard. The new one is way below that at 11.07v, so you do have a problem.
I only wish you had purchased a brand name power supply when you purchased your second one and that might have told us a lot more than the one you purchased. I am not saying it is not adequate (I don't know), but a well-known brand name would have given us a clue immediately. Since your present power supply is not a well-known brand name, it is kind of an unknown quality to us. If it were an Antec, Seasonic, OCZ, Fortron, we would have been able to pretty well know about the problem much quicker.
List your specs so we know what you have and that should help. Also, tell us how you are determining the voltages, via what method?
Then, download the SensorviewPro program and also speedfan under my signature and post the data for us. That wasy we have two more ways to compare the voltages so we get an idea if the sensor is bad in your motherboard or some other problem.
Post back with information/concerns/questions.