In: Statistics and Probability
An agricultural research station is trying to determine the relationship between the yield of sunflower seeds and the amount of fertilizer applied and the quality of soil (on the 10-point scale). To determine the relationship, five different fields were planted. In each field, four different plots were defined. In each plot, a different amount of fertilizer was used. The plot assignments for the fertilizer application were randomly selected in each field.
Pounds of Sunflower Seeds (per Acre) | Quality of soil | Pounds of Fertilizer (per Acre) |
420 | 2.5 | 200 |
455 | 5 | 200 |
405 | 7.5 | 200 |
415 | 9 | 200 |
580 | 2.5 | 400 |
540 | 5 | 400 |
550 | 7.5 | 400 |
500 | 9 | 400 |
580 | 2.5 | 600 |
600 | 5 | 600 |
610 | 7.5 | 600 |
650 | 9 | 600 |
630 | 2.5 | 800 |
620 | 5 | 800 |
626 | 7.5 | 800 |
670 | 9 | 800 |
805 | 2.5 | 1000 |
830 | 5 | 1000 |
790 | 7.5 | 1000 |
775 | 9 | 1000 |
5. Does Quality of soil significantly influence the Yield of Sunflower at the alpha level of 0.05? show which values you use to make the decision.
6. Does Pounds of fertilizer significantly influence the Yield of Sunflower at the alpha level of 0.05? show which values you use to make the decision.
7. If we keep the Amount of fertilizer unchanged, how will the Yield of sunflowers change if we decrease the Quality of soil by one unit?
8. If we keep the Quality of soil unchanged, how will the Yield of sunflowers change if we decrease the Amount of fertilizer by five units?