A researcher is interested in the effects of Prozac on depression and thus she assembles 3 groups (k = 3) of 10 subjects (n = 10). Group 1 receives a placebo pill (0mg) every day for two weeks, Group 2 receives 10mg of Prozac every day for two weeks and Group 3 receives 20mg of Prozac every day for two weeks. At the end of the two-week period, all subjects complete a Depression Inventory. Based on the information given below, are there any differences between the groups? Assume that the data is interval/ratio and normally distributed and set at .05. Remember to perform a post-hoc test if necessary. (SHOW ALL WORKING.) SSTotal = 140, SSError = 60 These are the 3 group means. You will need them for post-hoc testing if necessary. Mean Group 1 = 11.7, Mean Group 2 = 8.1, Mean Group 3 = 11.8