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Level Samples Were Drawn from Three Populations n1=5,n2=7n _ { 1 } = 5 , n _ { 2 } = 7

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level Samples were drawn from three populations. The sample sizes were n1=5,n2=7n _ { 1 } = 5 , n _ { 2 } = 7 , and n3=8n _ { 3 } = 8 . The sample means were xˉ1=2.66,xˉ2=2.10\bar { x } _ { 1 } = 2.66 , \bar { x } _ { 2 } = 2.10 , and xˉ3=1.79\bar { x } _ { 3 } = 1.79 . The sample standard deviations were s1=0.48,s2=0.33s _ { 1 } = 0.48 , s _ { 2 } = 0.33 , and s3=0.32s _ { 3 } = 0.32 . The grand mean is xˉ=2.116\bar { x } = 2.116
Can you conclude that two or more of the population means are different? Use the α=0.1\alpha = 0.1 of significance.


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