That's a tough one....
In my experience of delivery MBTI programme, Extraverts may prefer external stimulus such as music etc as background noise, creating a more social environment, and Introverts may prefer an environment which is free from distraction. As an Introvert, I quite enjoy background noise, and similarly I some Extraverts dont like it.
For me, anthing that helps to create an environment that is fun and increases motivation, increases performance.
I might recommending simply asking those with whom you work what they think. Perhaps trial it and notice the results you get.
My mind also asks the questions:
* By how much do you want to increase productivity?
* What are the current barriers to increased productivity?
Enjoy experimenting.