Samples Were Drawn from Three Populations $n _ { 1 } = 5 , n _ { 2 } = 6$

Multiple Choice

Samples were drawn from three populations. The sample sizes were $n _ { 1 } = 5 , n _ { 2 } = 6$ and $n _ { 3 } = 5$ The sample means were $\bar { x } _ { 1 } = 1.95 , \bar { x } _ { 2 } = 1.73 , \text { and } \bar { x } _ { 3 } = 1.44 \text {. }$ The sample standard deviations were $s _ { 1 } = 0.28 , s _ { 2 } = 0.43 , \text { and } s _ { 3 } = 0.48$ The grand mean is $\overline { \bar { x } } = 1.708125$
How many degrees of freedom are there for SSE.

A) 13
B) 12
C) 3
D) 2