I took 3 static maps at levels 11, 12 and 13, and used the "Maps Labs" feature of Google Maps, holding down the shift key at the corresponding min/max latitude/longtitude marks. Then I wrote a Perl program to calculate the latitude/longtitude ranges, the expected values (with the formula I predicted by inspecting the data), and the deltas (ie. abs(expected - range)), which should be close to zero.
Once I had convinced myself that I had gotten as close as I could, here were my results:
Z11: LatRange[0.323999] ExpLat[ 0.324] DeltaLat[ 0.0000000000000019]
Z11: LonRange[0.439999] ExpLon[ 0.44] DeltaLon[ 0.0000000000000023]
Z12: LatRange[0.161999] ExpLat[ 0.162] DeltaLat[ 0.0000000000000010]
Z12: LonRange[0.219999] ExpLon[ 0.22] DeltaLon[ 0.0000000000000011]
Z13: LatRange[0.081000] ExpLat[ 0.081] DeltaLat[ 0.0000000000000031]
Z13: LonRange[0.109999] ExpLon[ 0.11] DeltaLon[ 0.0000000000000006]
And the formulas I used were:
ExpLat = 0.162 * (2 ** (12 - Z))
ExpLon = 0.220 * (2 ** (12 - Z))
Where ExpLat, ExpLon are the expected latitude and longtitude ranges, and Z is the zoom level.