Wait a minute, that's contrary to what the USGA Handicapping manual says.....
b. Same Tees: Men vs. Women
Men and women playing from the same set of tees will have different USGA Course Ratings. Since the women’s Course Rating usually will be higher, women receive additional strokes equal to the difference between the USGA Course Ratings, with .5 or greater rounded upward.
Example: If women playing from the middle tees where the women’s Course Rating is 77.3 compete against men playing from the middle tees where the men’s Course Rating is 70.9, the women will add six strokes (77.3 - 70.9 = 6.4 rounded to 6 strokes) to their Course Handicaps.
The adjustment shall be added to the players’ Course Handicaps even if it causes a Course Handicap to exceed the maximum possible for the Slope Rating of the set of tees being played.
Whoops. I was going from memory and did not realize that a course could have different ratings from the same tees.