Let μ1,μ2,μ3 be, respectively, the means of three normal distributions with a common, but unknown, variance σ2. in order to test, at the α = 0.05 significance level, the hypothesis h0: μ1 = μ2 = μ3 against all possible alternative hypotheses, we take a random sample of size 4 from each of these distributions. determine whether we accept or reject h0 if the observed values from the three distributions are, respectively, as follows:
x1 : 5 9 6 8
x2 : 11 13 10 12
x3 : 10 6 9 9