Assume that the conclusion from an ANOVA is that the null hypothesis is rejected; in other words, the 4 population means are not all equal.We should expect that:
A)all 6 of the comparisons of means ould be significant using the Scheffé test.
B)at least 4 of the comparisons of mean ould be significant using the Scheffé test.
C)at least 2 of the comparisons of means ould be significant using the Scheffé test.
D)at least 1 of the comparisons of mean ould be significant using the Scheffé test.

Question

Assume that the conclusion from an ANOVA is that the null hypothesis is rejected; in other words, the 4 population means are not all equal.We should expect that:
A)all 6 of the comparisons of means ould be significant using the Scheffé test. 
B)at least 4 of the comparisons of mean ould be significant using the Scheffé test. 
C)at least 2 of the comparisons of means ould be significant using the Scheffé test. 
D)at least 1 of the comparisons of mean ould be significant using the Scheffé test.

Quizplus · Accepted Answer

Since the overall conclusion is that the population means are not all equal, we can expect that at least one of the comparisons of means will be significant using the Scheffé test. Therefore, the correct choice is D. A, B, and C all imply that there will be more than one significant comparison, which is not necessarily true.

Assume That the Conclusion from an ANOVA Is That the Null