[tex]\begin{gathered} t=\frac{(\bar{x_1}-\bar{x_2})}{\sqrt[]{\frac{s^2_1}{n_1}+\frac{s^2_2}{n_2}_{}_{}}} \\ \end{gathered}[/tex]
From the problem we have
[tex]\begin{gathered} n_1=50 \\ n_2=30 \\ \bar{x_1}=2.31 \\ \bar{x_2}=2.02 \\ s_1=0.89 \\ s_2=0.61 \end{gathered}[/tex]
We replace in t
[tex]\begin{gathered} t=\frac{(2.31-2.02)}{\sqrt[]{\frac{(0.89)^2_{}}{50_{}}+\frac{(0.61)^2_{}}{30_{}}_{}}} \\ t=\frac{0.29}{\sqrt[]{0.028245_{}_{}}} \\ t=1.725 \\ t=1.73 \end{gathered}[/tex]
The answer is t=1.73
