Chapter 6, Problem 15SE

SAT Scores Quantitative SAT scores are approximately Normally distributed with a mean of 500 and a standard deviation of 100. On the horizontal axis of the graph, indicate the SAT scores that correspond with the provided $z$ -scores. (See the labeling in Exercise 6.14.) Answer the questions using only your knowledge of the Empirical Rule and symmetry

a. Roughly what percentage of students earn quantitative SAT scores greater than 500?

i. almost all

ii. 75%

iii. 50%

iv. 25%

v. about 0%

b. Roughly what percentage of students earn quantitative SAT scores between 400 and 600?

i. almost all

ii. 95%

iii. 68%

iv. 34%

v. about 0%

c. Roughly what percentage of students earn quantitative SAT scores greater than 800?

i. almost all

ii. 95%

iii. 68%

iv. 34%

v. about 0%

d. Roughly what percentage of students earn quantitative SAT scores less than 200?

i. almost all

ii. 95%

iii. 68%

iv. 34%

v. about 0%

e. Roughly what percentage of students earn quantitative SAT scores between 300 and 700?

i. almost all

ii. 95%

iii. 68%

iv. 34%

v. 2.5%

f. Roughly what percentage of students earn quantitative SAT scores between 700 and 800?

i. almost all

ii. 95%

iii. 68%

iv. 34%

v. 2.5%