7. Use the following data to solve for an independent sample t-test. Assume the researcher used a two-tailed hypothesis, and an alpha level set at . 05 ( \( \alpha=5 \% \) ). Be sure to list the tcritical value, and the final answer formula in the space provided below (make sure to show your math to receive credit):
\[
\begin{array}{ll}
N=12 & \\
\mathrm{n}_{1}=6 & \mathrm{n}_{2}=6 \\
m_{1}=3.11 & m_{2}=2.50 \\
S_{1}=1.05 & S_{2}=0.75
\end{array}
\]