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