A N-fertilizer rate trial consisted of four rates (20, 40, 60, and 80 kg/ha), assigned randomly to five field plots in a randomized complete block randomized experiment design. The resulting maize grain yields (t/ha) are shown in the table below:
Block 20 kg/ha 40 kg/ha 60 kg/ha 80 kg/ha
I 1.2 1.5 2.5 2.0
II 1.1 1.7 2.7 2.2
III 1.3 1.8 2.8 2.3
IV 1.0 1.6 2.6 2.1
V 1.2 1.7 2.7 2.0
a. Carry out an analysis of variance to investigate whether there were any differences in the grain yield of maize grown under different levels of N fertilizer. State your null hypothesis and your conclusions. (10 Marks)
b. Did blocking succeed in removing the effects of suspected variability within the trial area? Explain your answer. (2 Marks)
c. Carry out mean comparisons using least significant differences and recommend the N application rate for maize farmer?
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