If one has the time, I like to pre test new t-stats in a pot of water. Drop them in, turn up the heat and at a minimum watch to make sure that they open up all the way Turn off the heat and as the water cools you will see the stats close. If you have a kitchen thermometer, you can place that in the water and note at what temp the t-stat opens. There aren't too many things more annoying then installing a bad 'new' t-stat.
When I can't pre test, I use an infrared thermometer. With the new t-stats installed, run the motor on the muffs and take temp readings of each t-stat housing. In a short period of time, the temps will start to rise and if all is working OK, will settle at some temp after 5 minutes or so ( depends on how cold your supply water is)
The third check method is to use your hand to feel the head temperature. You really can't judge what the temp is but you can pretty easily tell if one side is hotter or colder than the other. Unfortunately the fact that one side temp is a lot different than the other, only tells you that something is amiss. It could mean that a stat is stuck open ( that side will be cooler) or one is stuck closed ( it will be hotter).
If you use the hand test a few times, you will get an idea of what 'normal' is. If I forgot to pack my IR thermometer, I always do a hand test on spring startup just to make sure that the stats are working.Remember that both stats may be too cool or two warm but that is a another story.
One caveat: If you have overheating problems, be cautious doing the hand test since the heads can get quite hot