Samples Were Drawn from Three Populations $n _ { 1 } = 8 , n _ { 2 } = 5$

Multiple Choice

Samples were drawn from three populations. The sample sizes were $n _ { 1 } = 8 , n _ { 2 } = 5$ , and $n _ { 3 } = 9$ . The sample means were $\bar { x } _ { 1 } = 1.61 , \bar { x } _ { 2 } = 2.09$ , and $\bar { x } _ { 3 } = 1.50$ . The sample standard deviations were $s _ { 1 } = 0.33 , s _ { 2 } = 0.25$ , and $s _ { 3 } = 0.45$ . The grand mean is $\bar { x } = 1.674091$ .
Can you conclude that two or more of the population means are different? Use the $\alpha =$ of significance.

A) Yes
B) No