4. Tanya took a quiz in her history class. The mean was 72 points, and the standard deviation was 10 points. Olga scored 86 points on a quiz in her science class, which had a mean of 74 points and a standard deviation of 5 points. What is the minimum score that Tanya should have earned to score relatively higher than Olga?

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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**4.** Tanya took a quiz in her history class. The mean was 72 points, and the standard deviation was 10 points. Olga scored 86 points on a quiz in her science class, which had a mean of 74 points and a standard deviation of 5 points. What is the minimum score that Tanya should have earned to score relatively higher than Olga?

**5.** Letitia swam the girls 100m freestyle in 56.5 seconds. Ben swam the boys 100m freestyle in a time of 50.3 seconds. The mean time for the girls 100m at the swim meet was 58.6 seconds with a standard deviation of 2.3 seconds. The mean time for the boys 100m at the swim meet was 52.1 with a standard deviation of 1.8. Who swam the faster relative time?
Transcribed Image Text:**4.** Tanya took a quiz in her history class. The mean was 72 points, and the standard deviation was 10 points. Olga scored 86 points on a quiz in her science class, which had a mean of 74 points and a standard deviation of 5 points. What is the minimum score that Tanya should have earned to score relatively higher than Olga? **5.** Letitia swam the girls 100m freestyle in 56.5 seconds. Ben swam the boys 100m freestyle in a time of 50.3 seconds. The mean time for the girls 100m at the swim meet was 58.6 seconds with a standard deviation of 2.3 seconds. The mean time for the boys 100m at the swim meet was 52.1 with a standard deviation of 1.8. Who swam the faster relative time?
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