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

question 100

True/False

level Samples were drawn from three populations. The sample sizes were $n _ { 1 } = 5 , n _ { 2 } = 7$ , and $n _ { 3 } = 8$ . The sample means were $\bar { x } _ { 1 } = 2.66 , \bar { x } _ { 2 } = 2.10$ , and $\bar { x } _ { 3 } = 1.79$ . The sample standard deviations were $s _ { 1 } = 0.48 , s _ { 2 } = 0.33$ , and $s _ { 3 } = 0.32$ . The grand mean is $\bar { x } = 2.116$
Can you conclude that two or more of the population means are different? Use the $\alpha = 0.1$ of significance.