In an Experiment, = 10, = 20, and = 40 $\mu$

Multiple Choice

In an experiment, = 10, = 20, and = 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- $\mu$ ₁ is significant.
C) Both contrasts are significant.
D) None of the contrasts are necessarily significant.