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

A researcher wants to know if there is a difference in the average caffeine content of energy drinks produced in two different factories.
Factory A: ${\bar{x}}_1=82$ $\text{mg}$, $s_1=5.1$ $\text{mg}$
Factory B: ${\bar{x}}_2=80$ $\text{mg}$, $s_2=4.8$ $\text{mg}$
Assume population variances are equal and the sample size is $20$ for both factories. Using $\alpha =0.05$, perform a two-sample t-test and state your conclusion.