Two Means - Known Variance: Videos & Practice Problems

A university claims that the average starting salary for its engineering graduates is higher than that of graduates from a neighboring college. The mean starting salary for $45$ engineering graduates from the university is $\mathrm{\backslash (}68,200$ with a population standard deviation of $\mathrm{\backslash )}7,800$. For $50$ graduates from the neighboring college, the mean starting salary is $\mathrm{\backslash (}65,100$ with a population standard deviation of $\mathrm{\backslash )}9,200$. At $\alpha =0.05$, is there sufficient evidence to support the university's claim?