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Answer: Section I: Multiple Choice Select the best answer for each question. Questions
Chapter 2, Problem T2.10(choose chapter or problem)
Section I: Multiple Choice Select the best answer for each question. Questions T2.9 and T2.10 refer to the following setting. Until the scale was changed in 1995, SAT scores were based on a scale set many years ago. For Math scores, the mean under the old scale in the 1990s was 470 and the standard deviation was 110. In 2009, the mean was 515 and the standard deviation was 116. Gina took the SAT in 1994 and scored 500. Her cousin Colleen took the SAT in 2013 and scored 530. Who did better on the exam, and how can you tell?
Questions & Answers
QUESTION:
Section I: Multiple Choice Select the best answer for each question. Questions T2.9 and T2.10 refer to the following setting. Until the scale was changed in 1995, SAT scores were based on a scale set many years ago. For Math scores, the mean under the old scale in the 1990s was 470 and the standard deviation was 110. In 2009, the mean was 515 and the standard deviation was 116. Gina took the SAT in 1994 and scored 500. Her cousin Colleen took the SAT in 2013 and scored 530. Who did better on the exam, and how can you tell?
ANSWER:Step 1 of 2
Given,
The mean Math score in old SAT scale,
The standard deviation of Math score in old SAT scale,
The mean Math score in new SAT scale,
The standard deviation of Math score in new SAT scale,
Let’s determine the standardized score (z-score) for Gina and Colleen who took the SAT in 1994 and 2013 respectively. And find out who did better on the exam and how.