Crop rotation is a common strategy used to improve the yields ofcertain crops in subsequent growing seasons. An experiment wasperformed to assess the effects of crop rotation plant type andcrop rotation plant density levels on the yield of corn, theprimary crop of interest. A field was separated into 12 plots andeach of the treatments was randomly applied. After 2 months ofgrowth of the rotated crops, the plots were cleared, and corn seedswere applied evenly to each plot. After 5 months of growth of thecorn, the yields were assessed. The data, in kg/m2, are shownbelow. Determine if crop rotation plant type and density affect theyields of corn in this field. What treatment should the farmers useto maximize the yield?
| Density (k/ha) |
Rotation Variety | 05 k/ha | 10 k/ha | 15 k/ha | 20 k/ha |
Pea | 7.8 | 11.2 | 18.5 | 15.4 |
| 9.1 | 12.7 | 16.7 | 14.7 |
| 10.6 | 13.3 | 15.4 | 11.3 |
Soy | 7 | 9.3 | 13.8 | 11.3 |
| 6.7 | 10.9 | 14.3 | 12.7 |
| 8.1 | 11.8 | 15.4 | 14.3 |
Wheat | 6.4 | 4.9 | 3.6 | 2.8 |
| 4.5 | 7.1 | 3.9 | 6.1 |
| 5.9 | 3.2 | 5.8 | 4.6 |
- What kind of statistical test will you be performing?
- Will you need to test for equal variance? If so what are yourresults and how does that influence the next steps in youranalysis?
- What are your null and alternative hypotheses?
- Discuss the results of your analysis. Will you accept or rejectyour null hypothesis? Why? What can you specifically say about thedata?
