Assume that the conclusion from an ANOVA is that the null hypothesis is rejected; in other words, the 7 population means (from samples of the same size) are not all equal. We should expect that:
A) all 21 of the comparisons of means $\overline { \mathrm { X } } _ { i \text { versus } } \overline { \bar { X } } _ { j \text { would be significant using the Tukey test. } } ^ { \text {. } }$
B) at least 7 of the comparisons of means $\bar { X } _ { i v e r s u s } \bar { X } _ { \text {jwould be significant using the Tukey test. } }$
C) at least 4 of the comparisons of means $\bar { X } _ { \text {iversus } } \overline { \mathrm { X } } _ { \text {jwould be significant using the Tukey test. } }$
D) at least 1 of the comparisons of means $\bar { X } _ { i \text { versus } } \bar { X } _ { \text {jwould be significant using the Tukey test. } } ^ { \text {. } }$

Question

Assume that the conclusion from an ANOVA is that the null hypothesis is rejected; in other words, the 7 population means (from samples of the same size) are not all equal. We should expect that: 
A) all 21 of the comparisons of means $\overline { \mathrm { X } } _ { i \text { versus } } \overline { \bar { X } } _ { j \text { would be significant using the Tukey test. } } ^ { \text {. } }$
B) at least 7 of the comparisons of means $\bar { X } _ { i v e r s u s } \bar { X } _ { \text {jwould be significant using the Tukey test. } }$
C) at least 4 of the comparisons of means $\bar { X } _ { \text {iversus } } \overline { \mathrm { X } } _ { \text {jwould be significant using the Tukey test. } }$
D) at least 1 of the comparisons of means $\bar { X } _ { i \text { versus } } \bar { X } _ { \text {jwould be significant using the Tukey test. } } ^ { \text {. } }$

Quizplus · Accepted Answer

Rejecting the null hypothesis in ANOVA indicates that at least one pair of means is significantly different, which means at least one comparison will be significant using the Tukey test.

Assume That the Conclusion from an ANOVA Is That the Null