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 , are we convinced that retaking the test improves scores? what is the ‑value for a test of : = versus : ≠ ? more than 0.1 more than 0.75 less than 0.01