Answer
See below.
Work Step by Step
Study $1$:
$t=\frac{\overline{x_1}-\overline{x_2}}{\sqrt{s_1^2/n_1+s_2^2/n_2}}=\frac{16177-16569}{\sqrt{7520^2/56+9180^2/56}}\approx-0.248$.
Study $2$:
$t=\frac{\overline{x_1}-\overline{x_2}}{\sqrt{s_1^2/n_1+s_2^2/n_2}}=\frac{16496-12867}{\sqrt{7520^2/27+8343^2/20}}\approx1.537$.
