Inverse Normal Distribution: SAT and ACT Scores:. What is the probability that a randomly selected high school senior's score on the mathematics part of the SAT will be?

(a) more that 675? P(x > 675) = P(z > 1.75) = 0.0401

(b) less than 450? P(x < 450) = P(z < 0.50) = 0.3085

(c) between 450 and 675? P(450 ? x ? 675) = P(-0.50 ? z ? 1.75) = 0.6514

What is the probability that a randomly selected high school senior's score on the mathematics part of the ACT will be

(d) more than 28? P(x > 28) = P(z > 1.67) = 0.0475

(e) more than 12? P(x > 12) = P(z > -1.00) = 0.8413

(f) between 12 and 28? P(12 ? x ? 28) = P(-1.00 ? z ? 1.67) = 0.7938

When answering the questions below refer to the SAT and Act information from above.

**a) Suppose that an engineering school honors program will accept only high school seniors with mathematics SAT or ACT score in the top 10%. What is minimum SAT score in mathematics for this program? What is the minimum ACT scores in mathematic for this program?**

b) Suppose that an engineering school will accept only high school seniors with mathematics SAT or ACT score in the top 20%. What is the minimum SAT score in mathematics for this program? What is the minimum ACT score in mathematics for this program?

c) Suppose that an engineering school will accept only high school seniors with mathematics SAT or ACT score in the top 60%. What is the minimum SAT score in mathematics for this program? What is the minimum ACT score in mathematics for this program?

b) Suppose that an engineering school will accept only high school seniors with mathematics SAT or ACT score in the top 20%. What is the minimum SAT score in mathematics for this program? What is the minimum ACT score in mathematics for this program?

c) Suppose that an engineering school will accept only high school seniors with mathematics SAT or ACT score in the top 60%. What is the minimum SAT score in mathematics for this program? What is the minimum ACT score in mathematics for this program?