Write a brief scenario of a real world issue using a one-way analysis of variance (ANOVA) that includes clearly identified independent and dependent variables, the number of levels of the independent variable, the statistical null and alternative hypotheses, a description of what information the effect size would tell you that the probability value would not tell you, explain what additional information confidence intervals around means (or around mean differences) would give the 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 (s) (if appropriate), and post hoc results (if appropriate). Report hypothetical results in a few sentences using correct APA format.