They should be entirely adequate. That's not a guaranty, by the way. They are larger than the typical by-pass capacitors used by lots of people, so if that's where you're getting noise, it should certainly reduce it.
All noise is a pulsing or alternating current type signal. Capacitors can 'pass' AC just like a short circuit depending on the amount of capacitance and the frequency of that AC, has to do with the charging/discharging rate of the capacitor, which depends on the amount of capacitance. If you 'match' that charge/discharge rate to the frequency of the AC, it 'sees' a short circuit. The 'catch' to that is that noise can have a huge range of frequencies, not just one. So, more capacitance is better, sort of. Put that capacitor across a DC supply line and all/most of the AC component goes straight to ground, never gets past the caps. That's an exaggeration to some degree, not all AC goes to ground, wrong frequency kind'a thingy. That's also why sometimes there are more than one by-pass capacitor size used. That's not a very 'scientific' description of what's actually happening, but it gets the point across well enough to give an idea of what's going on. Sort of.
Good luck.
- 'Doc
Think about it, it's the same kind of 'filtering' circuit used in power supplies.