A researcher is interested in assessing the effects of a newly developed "smart" pill on patients' perceived mathematical abilities at three different time points. Patients are asked to rate their own levels of math skill from 1 - 10 before taking the pill, after 6 months of pill taking, and after 12 months of pill-taking. He collects the following data: Patient Before 6 months 12 months 7 7 5 6 6 4 6 8 D 7 6 9 E 8 7 6 Treatment totals 31 32 38 SS 10.8 1.2 9.2 Conduct an ANOVA for these data. You may use the summary table example below to help organize your data. Source SS df MS Between treatments Within treatments Between Subjects Error Total Fill in the table (on your own, you will not submit all values for credit, please read the question carefully). Analyze the results and answer the following questions: A.What is the value for the SSbetweentreatments? [ Select ] B. What is the value for the SSerror? [ Select ] C. What is the value for the df error? [ Select ] D. What is the F ratio for these data? F = [ Select ] E. Based on the F table and your determination of the critical value for alpha of 0.05, you would [ Select ] the null hypothesis. F. Is there at least one difference between the treatment groups? [ Select ]