Concept explainers
To find: The person who did better on the exam.
Answer to Problem 10PT
J did better on the exam Therefore option (C) is the right option.
Explanation of Solution
Given:
J scored 500
C scored 530
- Collen- she scored 30 points higher than Jane.
- Collen- her standardized score is higher than Jane’s.
- Jane- her standardized score is higher than Colleen’s.
- Jane- the standard deviation was bigger in 2009.
- The two sisters did equally well-their z -scores are the same.
Calculation:
According to the old scale in 1990s, the mean score was
Also informed that Jane took the SAT in 1994 and scored 500. Her sister Colleen took the SAT in 2009 and scored 530.
By definitions, Jane's standardized score (z-score) is given as follows:
By definitions, Colleen's standardized score (z-score) is given as follows:
As the Jane's standard score is greater than that of Colleen's, so Jane did better on the exam. Therefore option (C) Jane − her standardized score is higher than Colleen's is the right option.
Conclusion:
Therefore, J did better on the exam Therefore option (C) is the right option.
Chapter 2 Solutions
The Practice of Statistics for AP - 4th Edition
Additional Math Textbook Solutions
Essentials of Statistics, Books a la Carte Edition (5th Edition)
Elementary Statistics (13th Edition)
Intro Stats
Statistical Reasoning for Everyday Life (5th Edition)
Statistics: The Art and Science of Learning from Data (4th Edition)
Essentials of Statistics (6th Edition)
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