To determine whether four population means are equal,a sample from each population was selected at random. Using the Kruskal-Wallis test,H was computed to be 2.09. What is our decision at the 0.05 level of risk? A)Fail to reject the null hypothesis because 0.05 critical value of 1.96.

Question

To determine whether four population means are equal,a sample from each population was selected at random. Using the Kruskal-Wallis test,H was computed to be 2.09. What is our decision at the 0.05 level of risk? A)Fail to reject the null hypothesis because 0.05 < 2.09. B)Fail to reject the null hypothesis because 2.09 < 7.815. C)Reject the null hypothesis because 7.815 > 2.09. D)Reject the null hypothesis because 2.09 > critical value of 1.96.

Quizplus · Accepted Answer

To make our decision, we need to compare the calculated value of H (2.09) to the critical value of the chi-square distribution with 3 degrees of freedom at the 0.05 level of significance. With 3 groups, the degrees of freedom for the Kruskal-Wallis test are (number of groups - 1), so in this case, df = 3 - 1 = 2. The critical value for df = 2 and alpha = 0.05 is 7.815. Since our calculated H value (2.09) is less than the critical value (7.815), we fail to reject the null hypothesis that the four population means are equal.

To Determine Whether Four Population Means Are Equal,a Sample from Each