Question

Suppose that the distribution of math SAT scores from your state this year is normally distributed with mean 480 and standard deviation 100 for males, and mean 440 and standard deviation 120 for females. If someone who scores 780 or higher on the math SAT can be considered a genius, what is the proportion of geniuses among the male SAT takers?

A. 28%
B. 14%
C. 3%
D. 0.13%
E. 1.4%

Answer 1

B - 0.14% The proportion of geniuses among the male SAT takers would only be 0.14% because the standard deviation for the males was 100 with a mean distribution of 480. This means that only 0.14% of the male SAT takers scored over 780.