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

Question

Quizplus · Accepted Answer

To conclude if two or more of the population means are significantly different, an ANOVA test is typically used. However, without the results of an ANOVA test (F-statistic and p-value) or more specific information on the significance level ($\alpha$), we cannot definitively conclude that the population means are different based solely on the provided data.

Samples Were Drawn from Three Populations n1=8,n2=5n _ { 1 } = 8 , n _ { 2 } = 5n1​=8,n2​=5

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