The experimental farm in Ottawa performs research on a wide range of crops including grains and oil seeds for farms across the country. About 30 million tonnes of wheat are produced each year in Canada but yields can be affected by Fusarium, a fungus. Antifungal agents can be researched by measuring their impact on wheat yield in bushels per acre. A trial of five different antifungal agents could be conducted on four blocks of land, with each divided into five plots, and one randomly assigned for each agent. Results might look like this:

a) Is this an observational study or a statistical experiment?

b) Conduct two different ANOVA analyses of this data with a = 0.05, and compare their results.

c) Write a three-sentence report on your analysis for the Ottawa experimental farm.

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Antifungal Agent Block A 1 41.1 37.7 34.2 32.2 39.9 2 40.2 35.4 38.2 32.7 40.1 38.9 41.2 3 39.9 41.1 39.4 36.8 4 37.2 40.5 37.7 42.1