in 2009, the mean mathematics score was 21 with a standard deviation of 5.3 for the act mathematics...
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![Page 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](https://reader035.vdocuments.us/reader035/viewer/2022081603/56649e6c5503460f94b6a764/html5/thumbnails/1.jpg)
In 2009, the mean mathematics score was 21 with a standard deviation of 5.3 for the ACT mathematics section. Reference
Draw the normal curve in your notes, label the axis axes as shown.
![Page 2: 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](https://reader035.vdocuments.us/reader035/viewer/2022081603/56649e6c5503460f94b6a764/html5/thumbnails/2.jpg)
ACT scores were approximately normal in 2009 with = 21 and = 5.3.
1. What percent scored between 15.7 and 26.3?
![Page 3: 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](https://reader035.vdocuments.us/reader035/viewer/2022081603/56649e6c5503460f94b6a764/html5/thumbnails/3.jpg)
ACT scores were approximately normal in 2009 with = 21 and = 5.3.
What percent scored between 15.7 and 26.3? 68%
![Page 4: 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](https://reader035.vdocuments.us/reader035/viewer/2022081603/56649e6c5503460f94b6a764/html5/thumbnails/4.jpg)
ACT scores were approximately normal in 2009 with = 21 and = 5.3.
2. What percent scored between 10.4 and 36.9?
![Page 5: 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](https://reader035.vdocuments.us/reader035/viewer/2022081603/56649e6c5503460f94b6a764/html5/thumbnails/5.jpg)
ACT scores were approximately normal in 2009 with = 21 and = 5.3.
What percent scored between 10.4 and 36.9? 97.35%
![Page 6: 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](https://reader035.vdocuments.us/reader035/viewer/2022081603/56649e6c5503460f94b6a764/html5/thumbnails/6.jpg)
ACT scores were approximately normal in 2009 with = 21 and = 5.3.
4. What percent scored above 26.3?
![Page 7: 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](https://reader035.vdocuments.us/reader035/viewer/2022081603/56649e6c5503460f94b6a764/html5/thumbnails/7.jpg)
ACT scores were approximately normal in 2009 with = 21 and = 5.3.
What percent scored above 26.3? 16%
![Page 8: 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](https://reader035.vdocuments.us/reader035/viewer/2022081603/56649e6c5503460f94b6a764/html5/thumbnails/8.jpg)
ACT scores were approximately normal in 2009 with = 21 and = 5.3.
5. What percent scored below 5.1?
![Page 9: 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](https://reader035.vdocuments.us/reader035/viewer/2022081603/56649e6c5503460f94b6a764/html5/thumbnails/9.jpg)
ACT scores were approximately normal in 2009 with = 21 and = 5.3.
What percent scored below 5.1? 0.15%
![Page 10: 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](https://reader035.vdocuments.us/reader035/viewer/2022081603/56649e6c5503460f94b6a764/html5/thumbnails/10.jpg)
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?
![Page 11: 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](https://reader035.vdocuments.us/reader035/viewer/2022081603/56649e6c5503460f94b6a764/html5/thumbnails/11.jpg)
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?
![Page 12: 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](https://reader035.vdocuments.us/reader035/viewer/2022081603/56649e6c5503460f94b6a764/html5/thumbnails/12.jpg)
In 2009, the mean mathematics score on the SAT was 515 with a standard deviation of 116. Reference
7. Draw the normal curve in your notes, label the axis similar like I did for the ACT distribution.
![Page 13: 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](https://reader035.vdocuments.us/reader035/viewer/2022081603/56649e6c5503460f94b6a764/html5/thumbnails/13.jpg)
In 2009, the mean mathematics score on the SAT was 515 with a standard deviation of 116. Reference
Draw the normal curve in your notes, label the axis similar to the ACT distribution. ANSWER
![Page 14: 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](https://reader035.vdocuments.us/reader035/viewer/2022081603/56649e6c5503460f94b6a764/html5/thumbnails/14.jpg)
In 2009, the mean mathematics score on the SAT was 515 with a standard deviation of 116. Reference
8. If one’s score on the SAT math section was 678, calculate their z-score.
![Page 15: 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](https://reader035.vdocuments.us/reader035/viewer/2022081603/56649e6c5503460f94b6a764/html5/thumbnails/15.jpg)
In 2009, the mean mathematics score on the SAT was 515 with a standard deviation of 116. Reference
If one’s score on the SAT math section was 678, calculate their z-score. ANSWER ABOVE
![Page 16: 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](https://reader035.vdocuments.us/reader035/viewer/2022081603/56649e6c5503460f94b6a764/html5/thumbnails/16.jpg)
In 2009, the mean mathematics score was 21 with a standard deviation of 5.3 for the ACT mathematics section. Reference
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.
![Page 17: 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](https://reader035.vdocuments.us/reader035/viewer/2022081603/56649e6c5503460f94b6a764/html5/thumbnails/17.jpg)
9. Was a score of 28 on the ACT mathematics section better than a score of 678 on the SAT mathematics sections? Explain.
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.