In the Tukey Test, If $\bar { X } _ { 2 } = 8$

Multiple Choice

In the Tukey test, if $\bar { X } _ { 2 } = 8$ for a group size $n _ { 2 } = 8 , \bar { X } _ { 4 } = 12$ for a group size $n _ { 4 }$ and the within-group variance $s _ { w } ^ { 2 } = 24$ , then the $q$ test value for comparing group 2 to group 4 is

A) -0.17
B) -0.01
C) -0.82
D) -2.31