Changing the mean of a Normal distribution by a moderate amount can greatly change the percent of observations in thetails. In 2002, the scores of men on the Math SAT followed theN(534,113) distribution. Women's Math SAT scores that year had theN(500,113) distribution.

The mean Math SAT score for men was 34 points, i.e., 6.8% higher. (34 is 6.8% of 500.)

How much higher (in percent terms) is the percent of men scoring 750 or better (than the corresponding percent of women)?