The following summary statistics are available for two dependent random samples:
s₁² = 36, s₂² = 16, n = 22, r₁₂ = .70.
Test the following hypotheses at the .05 level of significance:
$\begin{array}{l}H_{0}: \sigma_{1}^{2}-\sigma_{2}^{2}=0 \\H_{1}: \sigma_{1}^{2}-\sigma_{2}^{2} \neq 0\end{array}$

Question

The following summary statistics are available for two dependent random samples:
s₁² = 36, s₂² = 16, n = 22, r₁₂ = .70.
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}

Quizplus · Accepted Answer

The Answer of The following summary statistics are available for two dependent random samples: s₁² = 36, s₂² = 16, n = 22, r₁₂ = .70. Test the following hypotheses at the .05 level of significance: $\begin{array}{l} H_{0}: \sigma_{1}^{2}-\sigma_{2}^{2}=0 \ H_{1}: \sigma_{1}^{2}-\sigma_{2}^{2} \neq 0 \end{array}$

The Following Summary Statistics Are Available for Two Dependent Random H0:σ12−σ22=0H1:σ12−σ22≠0\begin{array}{l}H_{0}: \sigma_{1}^{2}-\sigma_{2}^{2}=0 \\H_{1}: \sigma_{1}^{2}-\sigma_{2}^{2} \neq 0\end{array}H0​:σ12​−σ22​=0H1​:σ12​−σ22​=0​

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