Question: A surprising calculation. Changing the mean of a Normal distribution by a moderate amount can greatly change the percent of observations in the tails. Suppose that a college is looking for applicants with SAT math scores 750 and above.

1. In 2004 , the scores of men on the math SAI followed the \(N(537,116)\) distribution. What percent of men scored 750 or better?
2. Women's SAT math scores that year had the \(N(501,110)\) distribution. What percent of women scored 750 or better? You see that the percent of men above 750 is almost three times the percent of women with such high scores. Why this is 3triae is controversial.

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