Solution Found!
Improving SAT scores. Refer to the Chance (Winter 2001)
Chapter 6, Problem 21E(choose chapter or problem)
Problem 21E
Improving SAT scores. Refer to the Chance (Winter 2001) and National Education Longitudinal Survey (NELS) study of 265 students who paid a private tutor to help them improve their SAT scores, Exercise 2.88 (p. 86). The changes in both the SAT–Mathematics and SAT–Verbal scores for these students are reproduced in the table. Suppose the true population mean change in score on one of the SAT tests for all students who paid a private tutor is 15. Which of the two tests, SAT–Mathematics or SAT–Verbal, is most likely to have this mean change? Explain.
|
SAT–Math |
SAT–Verbal |
Mean change in score |
19 |
7 |
Standard deviation of score changes |
65 |
49 |
Questions & Answers
QUESTION:
Problem 21E
Improving SAT scores. Refer to the Chance (Winter 2001) and National Education Longitudinal Survey (NELS) study of 265 students who paid a private tutor to help them improve their SAT scores, Exercise 2.88 (p. 86). The changes in both the SAT–Mathematics and SAT–Verbal scores for these students are reproduced in the table. Suppose the true population mean change in score on one of the SAT tests for all students who paid a private tutor is 15. Which of the two tests, SAT–Mathematics or SAT–Verbal, is most likely to have this mean change? Explain.
|
SAT–Math |
SAT–Verbal |
Mean change in score |
19 |
7 |
Standard deviation of score changes |
65 |
49 |
ANSWER:
Solution:
Step 1 of 2:
The changes in both the SAT-Mathematics and SAT-verbal scores for 265 students are given.
Suppose the mean change in score on one of the SAT tests for all students who paid a private tutor is 15.
SAT- Maths Score |
SAT-verbal Score |
|
Mean change in score |
19 |
7 |
Standard deviation of score changes. |
65 |
49 |
We have to find which of the two tests, SAT-Mathematics or SAT-verbal, is most likely to have this mean change.