Answer
There is enough evidence that the mean SAT math score increases for students of the review course.
Work Step by Step
Here we have: $H_{o}$: μ =515, $H_{1}: μ > 515$, n = 1800, x̅ = 519, s = 111 and α = 0.05
Using the Classical approach:
Using Table VI, we have: t = 1.282
$σ_{ x̅} = \frac{s}{\sqrt n} = \frac{111}{\sqrt 1800} = 2.616$
$t = \frac{519 - 515}{2.616} = 1.529$
Since, 1.529 > 1.282, we reject the Null hypothesis.