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

Multiple Choice

Samples were drawn from three populations. The sample sizes were $n _ { 1 } = 5 , n _ { 2 } = 5$
$n _ { 3 } = 8$ The sample means were $\bar { x } _ { 1 } = 1.65 , \bar { x } _ { 2 } = 1.70 , \text { and } \bar { x } _ { 3 } = 1.41$ the sample standard deviations were $s _ { 1 } = 0.44 , s _ { 2 } = 0.25$ and $s _ { 3 } = 0.26$ The grand mean is $\overline { \bar { x } } = 1.557222$

Compute the sum of squares SSTr.

A) 1.4976
B) 0.3184
C) 1.5944
D) 0.1592