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.
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 , are we convinced that retaking the test improves scores? What is the P‑value for a test of H0:μ=μ0 versus Hα:μ≠μ0?
-less than 0.01
-more than 0.1
-more than 0.75
At 95% confidence pair wise 2 sample test excel report follows as
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