Another link for stats: March of Dimes.

And the CIA data isn't reliable? Hmmm....

This is a cut and paste from the CDC Acrobat report, the formatting is crap but the data is there. As you can see, the rate for Mexican Americans is actually lower than that of whites.

Race and
Hispanic origin of mother 1983 1985 1990 1995 1998 1999 2000 2001 2002
Infant deaths per 1,000 live births
All mothers...................... 10.9 10.4 8.9 7.6 7.2 7.0 6.9 6.8 7.0
White........................... 9.3 8.9 7.3 6.3 6.0 5.8 5.7 5.7 5.8
BlackorAfricanAmerican....19.2 18.6 16.9 14.6 13.8 14.0 13.5 13.3 13.8
Amer. Ind. or Alaska Native15.2 13.1 13.1 9.0 9.3 9.3 8.3 9.7 8.6
Asian or Pacific Islander ...... 8.3 7.8 6.6 5.3 5.5 4.8 4.9 4.7 4.8
Chinese ........................ 9.5 5.8 4.3 3.8 4.0 2.9 3.5 3.2 3.0
Japanese ....................... *5.6 *6.0 *5.5 *5.3 *3.4 *3.5 *4.5 *4.0 *4.9
Filipino......................... 8.4 7.7 6.0 5.6 6.2 5.8 5.7 5.5 5.7
Hawaiian ....................... 11.2 *9.9 *8.0 *6.5 9.9 *7.0 9.0 *7.3 9.6
Other Asian or Pac. Islander 8.1 8.5 7.4 5.5 5.7 5.1 4.8 4.8 4.7
Hispanic or Latino 4,5 ......... 9.5 8.8 7.5 6.3 5.8 5.7 5.6 5.4 5.6
Mexican........................ 9.1 8.5 7.2 6.0 5.6 5.5 5.4 5.2 5.4
PuertoRican.................... 12.9 11.2 9.9 8.9 7.8 8.3 8.2 8.5 8.2
Cuban ......................... 7.5 8.5 7.2 5.3 *3.7 4.6 4.6 4.2 3.7
Central and South American 8.5 8.0 6.8 5.5 5.3 4.7 4.6 5.0 5.1
Other/unknown Hisp or Latino10.6 9.5 8.0 7.4 6.5 7.2 6.9 6.0 7.1
Not Hispanic or Latino:
White 5 ......................... 9.2 8.6 7.2 6.3 6.0 5.8 5.7 5.7 5.8
Black or African American 5 ..19.1 18.3 16.9 14.7 13.9 14.1 13.6 13.5 13.9