A one-way ANOVA is to be performed. Independent random samples are taken from two populations. The sample data are depicted in the dotplot below. Is it reasonable to conclude that the difference between the sample means is due to a difference between the population means and not to variation within the populations? Do you think the null hypothesis would be rejected? Explain your thinking. Sample from population 1 (mean = 12.75) Sample from population 2 $$ (\text { mean }=19.25) $$

Question

A one-way ANOVA is to be performed. Independent random samples are taken from two populations. The sample data are depicted in the dotplot below. Is it reasonable to conclude that the difference between the sample means is due to a difference between the population means and not to variation within the populations? Do you think the null hypothesis would be rejected? Explain your thinking.     Sample from population 1 (mean = 12.75)      Sample from population 2 $$ (\text { mean }=19.25) $$

Quizplus · Accepted Answer

The Answer is Since the variation between the sample means is large relative to the variation within the samples, it is reasonable to conclude that the difference between the sample means is due to a difference between the population means and not to variation within the populations. The null hypothesis would be rejected.

A One-Way ANOVA Is to Be Performed ( mean =19.25) (\text { mean }=19.25) ( mean =19.25)

A One-Way ANOVA Is to Be Performed $(\text { mean }=19.25)$