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

Multiple Choice

Samples were drawn from three populations. The sample sizes were $n _ { 1 } = 5 , n _ { 2 } = 7$ and $n _ { 3 } = 5$ The sample means were $\bar { x } _ { 1 } = 1.43 , \bar { x } _ { 2 } = 1.85 , \text { and } \bar { x } _ { 3 } = 1.38$ The sample standard deviations were $s _ { 1 } = 0.31 , s _ { 2 } = 0.40 , \text { and } s _ { 3 } = 0.38$
The grand mean is $\overline { \bar { x } } = 1.588235$
Compute the mean squares MSE.

A) 0.8216
B) 0.4108
C) 0.1373
D) 1.9220