

It will be fine, I am assuming it's not a recording studio. Waste of time spending loads of money on acoustic insulation in a stud wall unless you are going to the efforts of creating proper separation. Most of the sound transference will be through the studs.For sound insulation that does look a bit 'sad' - .
The speed of sound in wood is 10 times plus that in air
Speed of sound in air is 330m/s
Speed of sound in wood is more than 3,300m/s
http://www.engineeringtoolbox.com/sound-speed-solids-d_713.html
Sfk

If you need to find a tradesperson to get your job done, please try our local search below, or if you are doing it yourself you can find suppliers local to you.
Select the supplier or trade you require, enter your location to begin your search.
Are you a trade or supplier? You can create your listing free at DIYnot Local