H0: Null Hypothesis:
(The heights do not differ among the types of fertilizer)
HA:Alternative Hypothesis:
(At least one mean is different from other 2 means)
From the given data, the following Table is calculated:
Control | Deficient | Slow - release | Total | |
N | 10 | 10 | 10 | 30 |
173.1 | 117 | 178 | 468.1 | |
Mean | 173.1/10=17.31 | 117/10=11.7 | 178/10=17.8 | 468.1/30=15.603 |
3149.45 | 1478.42 | 3345.18 | 7973.05 | |
Std. Dev. | 4.1243 | 3.4884 | 4.432 | 4.8035 |
From the above Table, ANOVA Table is calculated as follows:
Source of Variation | Sum of Squares | Degrees of Freedom | Mean Sum of Squares | F |
Between treatments | 229.7407 | 2 | 229.7407/2 = 114.8703 | 114.8703/16.2737 = 7.0587 |
Within treatments | 439.389 | 27 | 439.389/27 = 16.2737 | |
Total | 669.1297 | 29 |
F - Ratio value = 114.8703/16.2737 = 7.0587
Degrees of Freedom for Numerator = 2
Degrees of Freedom for Denominator = 27
= 0.05
From Table:
Critical value of F = 3.354
Since the calculated value of F = 7.0587 is greater than critical value of F = 3.354, the difference is significant. Reject null hypothesis.
Conclusion:
The data support the claim that The heights differ among the types
of fertilizer
By Technology, p - value =0.0034.
Since p - value = 0.0034 is less than = 0.05, the
difference is significant. Reject null hypothesis.
Conclusion:
The data support the claim that The heights differ among the types
of fertilizer
4. (Exam 3, Fall 2018) An article presents a study that investigated the effect of varying the ty...
1. The Mastic tree (Pistacia lentiscus) is used in reforestation efforts in southeastern Spain. The article "Nutri ent Deprivation Improves Field Performance of Woody Seedlings in a Degraded Semi-arid Shrubland" (R. Trubata, J. Cortina, and A. Vilagrosaa, Ecological Engineering, 2011:1164-1173) presents a study that in vestigated the effect of adding slow-release fertilizer to the usual solution on the growth of trees. Following are the heights, in cm, of 10 trees grown with the usual fertilizer (the control group), and 10...