Using a Normal Distribution

1. If one test taker from 2018 is randomly selected, what is the probability that person earned a composite score of 28 or higher on the ACT test? Round to the nearest thousandth.

2. Is it statistically likely or unlikely for a person to earn a composite score of 28 or higher on the ACT test in 2018?

3. If one test taker from 2018 is randomly selected, what is the probability that person earned a composite score between 18 and 22 inclusive on the ACT test? Round to the nearest thousandth.

4. If one test taker from 2018 is randomly selected, what is the probability that person had a composite score of 16 or less on the ACT test? Round to the nearest thousandth.

5. Is it statistically likely or unlikely for a person to earn a composite score of 16 or less on the ACT test in 2018?

6. The top 4% of ACT test takers in 2018 had scores at or above what point? Round to the nearest tenth.

7. The lowest 15% of ACT test takers in 2018 had scores at or below what point? Round to the nearest tenth.

8. Suppose an exclusive college wants to only admit students who had composite ACT scores in the top 8% of all ACT scores. What cutoff score would this college use based on the 2018 distribution of ACT scores? Round to the nearest tenth.

9. The Empirical Rule states 95% of all composite ACT scores for test takers in 2018 will fall how many standard deviations on either side of the mean composite score of 20.6?

10. Use the Empirical Rule to find the range of ACT scores the middle 68% of test takers for 2018 will fall.