1. Suppose a completely randomized experiment with 4 treatments yielded the following data: Treatment Data 3.48 5,79 3 13,17,18 7,10,13 Let denote the mean of the th treatment. Conduct one F-test at significant level 0.1 for and VS. either or or both State your hypotheses, test statistic, its associated degrees of freedom, rejection region and a conclusion. HH up = ut HH Hint: Consider this test as a comparison of full and reduced models. The "full model" here would allow for all the means to be different, but the "reduced model" (the model that generates the restriction for ) would allow for treatments 1 and 2 to have one common mean and for treatments 3 and 4 to have second compion mean. HH