You are assigned to run a study comparing a new medication (xbarl = 17.47, n1 = 19), an existing medication (xbar2 = 17.94, n = 18), and a placebo (xbar3 = 13.70, n3 = 20), with higher scores reecting better outcomes. Use SSb = 210.10 and SSw = 133.90 and a following t-test to determine if the new medication outperforms the existing medication. C) Fail to reject (retain) the null hypothesis; the new drug and the existing drug are not different. C) Reject the null hypothesis; the new drug and the existing drug are not different. C) Fail to reject (retain) the null hypothesis; the new drug and the existing drug are different. C) Reject the null hypothesis; the new drug and the existing drug are different. Based on the ANOVA table below, do you reject or fail to reject the null hypothesis? What is the effect size? Source SS DF MS F Between 60.72 3 20.24 3.88 Within 213.61 41 5.21 Total 274.33 44What is the purpose of post hoc tests? 0 To determine which specic groups are different. C} To determine if there is an effect. 0 To determine if any.r of the groups differ. C) To calculate the F-statistic. \fYou know that stores tend to charge different prices for similar or identical products, and you want to test whether or not these differences are, on average, statistically signicantly different. You go online and collect data from 3 different stores, gathering information on 15 products at each store. You find that the average prices at each store are: Store 1 xba = $27.82, Store 2 xbar = $38.96, and Store 3 xbar = $24.53. Based on the overall variability in the products and the variability within each store, you find the following values for the Sums of Squares: SStot = 683.22, SSw = 441.19. Complete the ANOW (Fstatistic) to see if there are systematic price differences between the stores. 0 Reject the null; prices do not differ among the stores . O Reject the null; prices differ among the stores . O Fail to reject the null; prices do not differ among the stores . O Fail to reject the null; pricest differ among the stores