If the critical difference for the Tukey test equals 3 for α equal to .05, then a difference between means of 10 and 5 for two groups is ,. A)nonsignificant; p .05 B)nonsignificant; p .05 D)statistically significant; p

Question

If the critical difference for the Tukey test equals 3 for α equal to .05, then a difference between means of 10 and 5 for two groups is ,. A)nonsignificant; p > .05 B)nonsignificant; p < .05 C)statistically significant; p > .05 D)statistically significant; p < .05

Quizplus · Accepted Answer

The Tukey test is used to determine if there are statistically significant differences between the means of multiple groups. The critical difference is the minimum amount that the means of two groups must differ by in order to be considered statistically significant. In this case, the critical difference is 3 for α = .05. Since the difference between the means of the two groups (10 - 5 = 5) is greater than 3, the difference is statistically significant with p < .05. Therefore, the correct answer is D, statistically significant; p < .05.

If the Critical Difference for the Tukey Test Equals 3