Question

Do students tend to improve their SAT Math score the second time they take the test?...

Do students tend to improve their SAT Math score the second time they take the test? A random sample of four students who took the test twice provided the given scores.

Student 1 2 3 4
First Score 450 520 720 600
Second Score 440 600 720 630

Assuming that the change in SAT Math score (second score—first score) for the population of all students taking the test twice is Normally distributed with mean μ , a 95% confidence interval of μ is:

(−39.29,89.29)

(−14.6,64.6)

(−31.09,81.09)

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