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Application of Basic Statistics: Comparing the effectiveness of two herbicides (A and B) to control giant foxtail weed Herbicide A Herbicide B Rep % Control

  1. 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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