Two Means - Unknown, Equal Variance: Videos & Practice Problems

A researcher compares the average test scores of students in two different math tutoring programs.
Program X: $n_1=30$, ${\bar{x}}_1=82$, $s_1=6$; program Y: $n_2=28$, ${\bar{x}}_2=78$, $s_2=7$.
Assume equal population variances and normality. The standardized test statistic for testing $H_0:{\mu }_X={\mu }_Y$ versus $H_a:{\mu }_X>{\mu }_Y$ is calculated to be $t=2.12$. At the $5\%$ significance level ($\alpha =0.05$), what is the conclusion of the hypothesis test, and how would you interpret the decision in the context of the original claim?