4 db would be a little more than doubling the power, not the loudness. A 3db increase requires twice the watts and is only an incremental adjustment in perceived loudness - 9 db is considered 'doubling' loudness.
“An engineer explained to us that hundreds of ear impressions were gathered in the name of research, and while each one obviously boasted its own unique shape and size, one single characteristic remained uniform across the board: the entrance into the ear canal is not a perfect circle, it's an oval.”
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4 db would be a little more than doubling the power, not the loudness. A 3db increase requires twice the watts and is only an incremental adjustment in perceived loudness - 9 db is considered 'doubling' loudness.