The Following Summary Statistics Are Available for Two Dependent Random $\begin{array}{l}H_{0}: \sigma_{1}^{2}-\sigma_{2}^{2}=0 \\H_{1}: \sigma_{1}^{2}-\sigma_{2}^{2} \neq 0\end{array}$

Essay

The following summary statistics are available for two dependent random samples:

s₁² = 100, s₂² = 225, n = 122, r₁₂ = .50.

Test the following hypotheses at the .05 level of significance:

$\begin{array}{l}H_{0}: \sigma_{1}^{2}-\sigma_{2}^{2}=0 \\H_{1}: \sigma_{1}^{2}-\sigma_{2}^{2} \neq 0\end{array}$