[See Solution] Changing the mean of a normal distribution by a moderate amount can greatly change the percent of observations in the tails. Suppose that
Question: 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.
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In 2003, the scores of men on the math SAT followed a normal distribution with mean 537 and standard deviation 116. What percent of men scored 750 or better?
(b) Women's scores that year had a normal distribution with mean 503 and standard deviation 110. What percent of women scored 750 or better? You see that the percent of men above 750 is more than two and one-half times the percent of women with such high scores.
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