In an Experiment $\bar{Y}_{1}$ =10 $\bar{Y}_{2}$ =20, And $\bar{Y}_{3}$ =40 Tukey HSD Shows That

Multiple Choice

In an experiment, $\bar{Y}_{1}$ =10, $\bar{Y}_{2}$ =20, and $\bar{Y}_{3}$ =40. Tukey HSD shows that $\mu$ ₂- $\mu$ ₁ is a significant contrast. What will you find out about $\mu$ ₃- $\mu$ ₁ and $\mu$ ₃- $\mu$ ₂ if the same procedure and same $\alpha$ level are used?

A) Only $\mu$ ₃- $\mu$ ₁ is significant.
B) Only $\mu$ ₃- $\mu$ ₂ is significant.
C) Both contrasts are significant.
D) None of the contrasts are necessarily significant.