Thank you, Tennesseeretiree, for catching that error.  While mine has been an error in haste and poor proofreading, I'm glad that you pointed out the difference between causality and correlation so that others can learn, even if it is at my expense.  

I'm sorry I missed this, as it is a frustration I often feel myself when I notice this error in logic.  Mea culpa ... and I will now be more forgiving when I see someone else making the same mistake.

I do want to mention, however, that with our new ability to do brain scans, we are finding that the brains of musicians differ notably from those of non-musicians.  Causality may be closer to proof than we think.

I'm happy to hear that your children were able to study music.  It is a gift we should all be proud to be able to bestow on our children!