Samples Were Drawn from Three Populations $n _ { 1 } = 5 , n _ { 2 } = 7$

Samples were drawn from three populations. The sample sizes were $n _ { 1 } = 5 , n _ { 2 } = 7$
and $n _ { 3 } = 8$ The sample means were $\bar { x } _ { 1 } = 1.41 , \bar { x } _ { 2 } = 1.27 , \text { and } \bar { x } _ { 3 } = 1.76$ The sample standard deviations were $s _ { 1 } = 0.49 , s _ { 2 } = 0.47 , \text { and } s _ { 3 } = 0.25$ The grand mean is $\overline { \bar { x } } = 1.501$
Compute the sum of squares SSE.

A) 0.9516
B) 2.9701
C) 2.7233
D) 0.4758