An experiment was designed to test the effects of five levels of phosphate fertilizer (P1, P2, P3, P4 and P5) on the yield of potato tuber dry matter. The experiment was laid out in a field as a 5 x 5 Latin Square, and the following yields (kg DM/plot) were obtained (data also available in the Excel file provided in the tab labeled "Potato"): P2 62.4 P3 61.3 P5 62.5 P1 63.8 P4 75.0 P4 64.1 P5 68.4 P1 62.9 P2 66.2 P3 77.4 P3 69.2 Pl 55.8 P2 67.8 P4 71.3 P5 74.8 P5 65.0 P2 68.7 P4 69.8 P3 76.0 P1 70.9 P1 63.3 P4 75.0 P3 69.3 P5 78.0 P2 75.4 a) Analyze these data thoroughly, document the entire procedure clearly and report conclusions. Check model assumptions and provide the tables and figures neces- sary to support all of your claims. b) If you were to repeat a similar experiment the following year, would you consider implementing a Latin Square, a Randomized Complete Block or a Completely Randomized design? Justify your suggestion.