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

Multiple Choice

Samples were drawn from three populations. The sample sizes were $n _ { 1 } = 7 , n _ { 2 } = 7$ and $n _ { 3 } = 5$ The sample means were $\bar { x } _ { 1 } = 1.29 , \bar { x } _ { 2 } = 1.44 , \text { and } \bar { x } _ { 3 } = 1.48$ The sample standard deviations were $s _ { 1 } = 0.30 , s _ { 2 } = 0.39 \text {, and } s _ { 3 } = 0.41$
The grand mean is $\overline { \bar { x } } = 1.395263$
Compute the value of the test statistic F .

A) 2.125
B) 0.480
C) 0.064
D) 0.127