Problem 1.6. (4 points) - The .Hell Means model, yij = p,- i eij has as one of its assumptions that the yij's are random, independent observations from the treatment populations. a. What could the statistician do during the conduct of the experiment in order to ensure that the condition of random, independent observations is reasonable valid? b. What condition is required of the ygj's in order for the least squares estimators of pt.- to be best linear unbiased estimators? c. What condition is required of the yij\"s in order to validly use the Ftest in AOV hypotheses and to place condence intervals on the aij's? d. Suppose the condition from part c. is not valid. How could you test for differences in the treatment means