Think about a real-world situation or problem that could be addressed using a one-way analysis of variance. For this situation or problem, clearly state the independent and dependent variables you would study; generate the statistical null and alternative hypotheses; describe what information the effect size would tell you that the probability value would not tell you; explain what additional information confidence intervals around mean would give your reader; explain when would you need to report a post hoc test and why; and using realistic numbers for values of degrees of freedom, sample size, F-ratio, confidence interval and post hoc results; report hypothetical results in a few sentences using APA format.