Given Exercise gave the information that the verbal SAT scores for students admitted to a university had a bell shaped distribution with mean 540 and standard deviation 50.
a. What is the verbal SAT score such that only 16% of admitted students had a higher score?
b. What is the verbal SAT score such that only 2.5% of admitted students had a higher score?
c. What is the verbal SAT score such that only 16% of admitted students had a lower score?
Exercise
Suppose verbal SAT scores for students admitted to a university are bell-shaped with a mean of 540 and a standard deviation of 50.
a. Draw a picture of the distribution of these verbal SAT scores, indicating the cutoff points for the middle 68%, 95%, and 99.7% of the scores.
b. What is the variance of verbal SAT scores for students admitted to the university?