Find the critical value or values of $\chi^{2}$ based on the given information. \[ \begin{array}{l} H_{1}: \sigma<0.629 \\ n=19 \\ \alpha=0.025 \end{array} \] A. 8.907 B. 8.231 c. 7.015 D. 31.526

Step 1 ：Given that the sample size, \(n=19\), the significance level, \(\alpha=0.025\), and the alternative hypothesis is \(H_{1}: \sigma<0.629\).

Step 2 ：The degrees of freedom for a chi-square test is \(n-1\), where \(n\) is the sample size. In this case, \(n=19\), so the degrees of freedom is \(18\).

Step 3 ：We want to find the critical value at the right tail of the distribution, so we need to use \(1-\alpha\) in the percent point function.

Step 4 ：Substituting the given values, we get the critical value as \(31.526378440386626\).

Step 5 ：Rounding off to three decimal places, the critical value of \(\chi^{2}\) is \(\boxed{31.526}\).