Solution: Do students tend to improve their SAT Mathematics (SAT-M) score the second time they take the test? A random sample of four students who took
Question: (8 points) Do students tend to improve their SAT Mathematics (SAT-M) score the second time they take the test? A random sample of four students who took the test twice received the following scores. Assume that the change in SAT-M score (second score – first score) for the population of all students taking the test twice is normally distributed. What is a 90% confidence interval for the mean change in SAT-M score?
| Student | 1 | 2 | 3 | 4 |
| First score | 450 | 520 | 720 | 600 |
| Second score | 440 | 600 | 720 | 630 |
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