Canola (CANada Oil Low Acid) was bred naturally at the University of Manitoba and today farms in the prairies produce about 20 million metric tonnes per year, higher than any other country in the world. The Canola Council of Canada organizes trials of new varieties of canola at multiple sites in Alberta, Saskatchewan, and Manitoba. A trial could test new varieties at multiple sites to get an estimate of whether there is any difference among them in terms of overall yield. Simplified data on the yield in bushels/acre from such a trial might look like this:

a) Is this an observational study or a statistical experiment? What information is missing from the above description that would ensure that it is statistically well designed?

b) Assuming the trial is statistically well designed, analyze the effect of variety and site on yield with a = 0.05. State the type of analysis you are performing.

c) Write a three-sentence report on your analysis for the Canola Council of Canada.

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Variety Site A 1 25.2 27.6 30.2 26.8 32.4 34.7 35.4 33.9 3 27.1 30.1 30.2 26.1 2.