Let i be the average yield in bushels per acre of variety i of corn, i = 1; 2; 3; 4. In order to test the hypothesis H0 : 1 = 2 = 3 = 4 at the 5% significance level, four test plots for each of the four varieties of corn are planted. Determine (both by hand and using R) whether we accept or reject H0 if the yield in bushels per acre of the four varieties of corn are, respectively, as follows:
X1: 68.82 76.99 74.30 78.73
X2: 86.84 75.69 77.87 76.18
X3: 90.16 78.84 80.65 83.58
X4: 61.58 73.51 74.57 70.75