In: Statistics and Probability
Workers at a tree farm decided to test the efficacy of three fertilizer mixtures (A, B, and C) on the growth of Norway maple seedlings, Acer platanoides. The table below contains the heights of seedlings (in feet) for the three fertilizer treatments.
Assume the heights of the seedlings among the treatments for the three fertilizer mixers are normally distributed and do the following.
(i): Test the hypothesis.
(ii): Analyze with one-way ANOVA to test the hypothesis that there is any significant differences in the heights among the three fertilizer treatments at both:
(a): 95% and 90% level of significance.
A |
B |
C |
2.0 |
2.3 |
3.1 |
2.1 |
2.9 |
1.5 |
2.4 |
1.5 |
2.2 |
2.8 |
1.2 |
2.9 |
2.9 |
1.9 |
1.7 |
3.1 |
1.9 |
2.1 |
3.2 |
3.4 |
2.8 |
3.7 |
2.1 |
1.5 |
3.8 |
2.6 |
2.8 |
4.1 |
2.4 |
2.2 |
Ho is also rejected at 5% los, because pvvalue is also less than 0.05 .
Interpretation :
There is significant differences in the heights among the three fertilizer treatments at both 95% and 90% level of significance.
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