Question
Application of Basic Statistics: Comparing the effectiveness of two herbicides (A and B) to control giant foxtail weed Herbicide A Herbicide B Rep % Control
- Application of Basic Statistics:
Comparing the effectiveness of two herbicides (A and B) to control giant foxtail weed
Herbicide A | Herbicide B | ||||||
Rep | % Control | Dev from mean | (Dev)2 | % Control | Dev | (Dev)2 | Total |
1 | 85 | 3.75 | 14.06 | 99 | 1.25 | 1.56 | |
2 | 80 | 1.25 | 1.56 | 98 | .25 | 0.06 | |
3 | 85 | 3.75 | 14.06 | 95 | 2.75 | 7.56 | |
4 | 75 | 6.25 | 39.06 | 99 | 1.25 | 1.56 | |
Total | 325 | 68.74 | 391 | 10.74 | Y.. | ||
Mean | 81.25 | 97.75 |
I. State the null and alternate hypotheses for this research
HO____________________________________
HA___________________________________
II. Calculate:
1. Mean ()
Herbicide A ___________________
Herbicide B ___________________
2. Sum of squares (SS)
Herbicide A _____________________
Herbicide B _____________________
3. Variance (S2)
Herbicide A ____________________
Herbicide B _______________
4. Standard deviation (S)
Herbicide A ____________________
Herbicide B _________________
5. Coefficient of variation (CV)
Herbicide A _____________________
Herbicide B ___________________
6. Standard error of the mean (S)
Herbicide A ____________________
Herbicide B ______________________
7. The 95% Confidence Limits (CL)
Herbicide A LL___________UL ________________
Herbicide B LL ___________ UL _______________
8. Establish the confidence intervals (CI) for the two herbicides (for each herbicide draw a line to connect LL to UL).
9. Use the CIs of the two herbicides to make decisions on the null (H0) and alternate (HA) hypotheses.
10. Standard Error of the Difference (Sd) ___________________________
11. The degrees of freedom (df) _____________________
12. The t value (calculated) ________________________
13. Critical t (from table at 5%) ________________________
14. Interpret null and alternate hypotheses
15. Calculate the variance within sample (S2w) ________________________________
16. Calculate the variance between samples (S2b) ______________________________
17. Calculate the F value ______________________________________
18. Get critical F from F-table __________________________________
19. Interpret null and alternate hypotheses
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