In the Scheffé Test, If $\bar { X } _ { 2 } = 6$

Multiple Choice

In the Scheffé test, if $\bar { X } _ { 2 } = 6$ for a group of size $n _ { 2 } = 7 , \quad \bar { X } _ { 4 } = 14$ for a group of size $n _ { 4 } = 7$ , and the within-group variance $s _ { w } ^ { 2 } = 14$ , then the $\mathrm { F } _ { \mathrm { S } }$ test value for comparing these two groups is equal to:

A) $- 2.00$
B) $16.00$
C) $4.57$
D) $10.29$