[quote user="al7478"]It makes one look like a towering intellect, calling people morons over the net. [/quote]
Yeah, sorry. I'm really grumpy at the moment, I should try to moderate it. Still I can't claim that asserting that somebody else's comment is "ludicrous" simply because you don't understand it is very big or clever either.
However you clearly did understand my point because what you write right is exactly correct - you can't do this experiment trivially. If you don't control the quality of the mains - and in this context control does not necessarily mean change, it means "understand and quantify", then all of your results are meaningless. But you do need it to be imperfect in at least some of your cases - in fact rubbish would be better.
You wouldn't necessarily need a vast number of people however.
The easiest things to do would be two tests - as essentially the whole mains cable debate concerns two questions:
If the mains is dodgy, does it affect the sound you hear, and
Is the mains ever really that dodgy
So, go around and hook an oscilloscope up to the mains in lots of places, when they're doing the normal things they do there for the second.
For the first use a signal generator to recreate some dodgy mains, another to generate a test input tone to an amplifier, and then hook an oscilloscope up to the output of the amp and see if the tone is "pure" or not. Pop a few "control" cases in with varying degress of mains interference and there you go.
Chuck in a little analysis about whether any distortion would be audible, and think about testing individual products to see if they rectify it. If it's borderline, or perchance you want to listen to some music for a change, do some blind listening tests somewhere with known dodgy mains.
Boring I know.