Samples Were Drawn from Three Populations $n _ { 1 } = 9 , n _ { 2 } = 6$

Samples were drawn from three populations. The sample sizes were $n _ { 1 } = 9 , n _ { 2 } = 6$ , and $n _ { 3 } = 8$ . The sample means were $\bar { x } _ { 1 } = 1.75 , \bar { x } _ { 2 } = 1.29$ , and $\bar { x } _ { 3 } = 1.49$ . The sample standard deviations were $s _ { 1 } = 0.28 , s _ { 2 } = 0.44$ , and $s _ { 3 } = 0.27$ . The grand mean is $\overline { \mathrm { x } } = 1.539565$ . Compute the sum of squares SSE.

A) 0.7919
B) 0.3959
C) 3.7611
D) 2.1055