Which of the Following Distributions Approximates the Kruskal-Wallis Test Statistic

Short Answer

Which of the following distributions approximates the Kruskal-Wallis test statistic H when the problem objective is to compare k distributions and the sample sizes are greater than or equal to 5? $\begin{array}{|l|l|}\hline \text { A. } & \text {Normal. } \\\hline \text { B. } & \text { Chi-squared distribution with \( k-1 \) degrees of freedom.} \\\hline \text { C. } & \text {Student \( t \)-distribution with \( k-2 \) degrees of freedom. } \\\hline \text { D. } & \text {Either chi-squared distribution with \( k-5 \) degrees of freedom or Student \( t \)-distribution } \\&\text {with \( k+5 \) degrees of freedom. }\\\hline\end{array}$