1. In 2009, the mean mathematics score was 21 with a standard deviation of 5.3 for the ACT mathematics section. ReferenceReference Draw the normal curve in your notes, label the axis axes as shown.

2. ACT scores were approximately normal in 2009 with  = 21 and  = 5.3. 1. What percent scored between 15.7 and 26.3?

3. ACT scores were approximately normal in 2009 with  = 21 and  = 5.3. What percent scored between 15.7 and 26.3? 68%

4. ACT scores were approximately normal in 2009 with  = 21 and  = 5.3. 2. What percent scored between 10.4 and 36.9?

5. ACT scores were approximately normal in 2009 with  = 21 and  = 5.3. What percent scored between 10.4 and 36.9? 97.35%

6. ACT scores were approximately normal in 2009 with  = 21 and  = 5.3. 4. What percent scored above 26.3?

7. ACT scores were approximately normal in 2009 with  = 21 and  = 5.3. What percent scored above 26.3? 16%

8. ACT scores were approximately normal in 2009 with  = 21 and  = 5.3. 5. What percent scored below 5.1?

9. ACT scores were approximately normal in 2009 with  = 21 and  = 5.3. What percent scored below 5.1? 0.15%

10. ACT scores were approximately normal in 2009 with  = 21 and  = 5.3. 6. If on scores a 28 on the ACT, what is their z-score?

11. ACT scores were approximately normal in 2009 with  = 21 and  = 5.3. 6. If on scores a 28 on the ACT, what is their z-score?

12. In 2009, the mean mathematics score on the SAT was 515 with a standard deviation of 116. Reference Reference 7. Draw the normal curve in your notes, label the axis similar like I did for the ACT distribution.

13. In 2009, the mean mathematics score on the SAT was 515 with a standard deviation of 116. Reference Reference Draw the normal curve in your notes, label the axis similar to the ACT distribution. ANSWER

14. In 2009, the mean mathematics score on the SAT was 515 with a standard deviation of 116. Reference Reference 8. If one’s score on the SAT math section was 678, calculate their z-score.

15. In 2009, the mean mathematics score on the SAT was 515 with a standard deviation of 116. Reference Reference If one’s score on the SAT math section was 678, calculate their z-score. ANSWER ABOVE

16. In 2009, the mean mathematics score was 21 with a standard deviation of 5.3 for the ACT mathematics section. ReferenceReference In 2009, the mean mathematics score on the SAT was 515 with a standard deviation of 116. 9. Was a score of 28 on the ACT mathematics section better than a score of 678 on the SAT mathematics sections? Explain.

17. Answer: Since the ACT mathematics z-score was 1.32 which is lower than the SAT mathematics score of 1.405, a score of 28 is not better on the ACT math compared to a score of 678 on the SAT math section. The z-score for the SAT math section was higher than the z-score for the ACT math, the SAT score is better.