Question

Changing the mean and standard deviation 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.

(a) In 2015, the scores of men on the math SAT followed the N ( 527 , 124 ) distribution. What percent of men scored 750 or better?

A) 96.41 %

B) 1.36 %

C) 0.96 %

D) 1.80 %

E) 3.51 %

F) 3.59 %

(b) Women's SAT math scores that year had the N ( 496 , 115 ) distribution. What percent of women scored 750 or better?

A) 0.99 %

B) 1.50 %

C) 2.21 %

D) 1.36 %

E) 1.09 %

F)1.45 %

You see that the percent of men above 750 is more than two and a half times the percent of women with such high scores. (On the other hand, women score higher than men on the new SAT writing test, though by a smaller amount.)

Answer 1

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