Consider the following claim: \[ \begin{array}{l} H_{0}: \rho=0 \\ H_{a}: \rho \neq 0 \end{array} \] If $\mathrm{n}=13$ and $r=0$ compute $t \star=r \sqrt{\frac{n-2}{1-r^{2}}}$ Note: Round your answer to TWO decimal places.

Step 1 ：Consider the following claim: \[ \begin{array}{l} H_{0}: \rho=0 \ H_{a}: \rho \neq 0 \end{array} \]

Step 2 ：We are given that $\mathrm{n}=13$ and $r=0$

Step 3 ：We are asked to compute $t \star=r \sqrt{\frac{n-2}{1-r^{2}}}$

Step 4 ：Substitute the given values into the formula to calculate t: $t = 0 \sqrt{\frac{13-2}{1-0^{2}}}$

Step 5 ：Simplify the expression to get the final answer: $t = 0.0$

Step 6 ：The computed value of $t$ is \(\boxed{0.00}\)