Changing mean of normal distribution by a moderate amount

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

Reference no: EM132438159

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