The accompanying data are the weights (kg) of poplar trees that were obtained from trees planted in a rich and moist region. The trees were given different treatments identified in the accompanying table. Also shown are partial results from using the Bonferroni test with the sample data. Complete parts (a) through (c).
The accompanying data are the weights (kg) of poplar trees that were obtained from trees planted in a rich and moist region. The trees were given different treatments identified in the accompanying table. Also shown are partial results from using the Bonferroni test with the sample data. Complete parts (a) through (c).
MATLAB: An Introduction with Applications
6th Edition
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Author:Amos Gilat
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Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![The accompanying data are the weights (kg) of poplar trees that were obtained from trees planted in a rich and moist region. The trees were given different treatments identified in the accompanying table. Also shown are partial results from using the Bonferroni test with the
sample data. Complete parts (a) through (c).
Click the icon to view the data table of the poplar weights and the Bonferroni results.
a. Use a 0.10 significance level to test the claim that the different treatments result in the same mean weight.
Determine the null and alternative hypotheses.
Ho
H₁₂:
Determine the test statistic.
The test statistic is
(Round to two decimal places as needed.)
Determine the P-value.
The P-value is
(Round to three decimal places as needed.)
What is the conclusion for this hypothesis test at a 0.10 significance level?
C
O A. Fail to reject Ho. There is sufficient evidence to warrant rejection of the claim that the four different treatments yield the same mean poplar weight.
OB. Reject Ho. There is sufficient evidence to warrant rejection of the claim that the four different treatments yield the same mean poplar weight.
O C. Fail to reject Ho. There is insufficient evidence to warrant rejection of the claim that the four different treatments yield the same mean poplar weight.
O D. Reject Ho. There is insufficient evidence to warrant rejection of the claim that the four different treatments yield the same mean poplar weight.
b. What do the displayed Bonferroni results tell us?
With a P-value of
there
With a P-value of
there
With a P-value of, there
(Round to three decimal places as needed.)
a significant difference between the No Treatment and Fertilizer groups.
▼a significant difference between the No Treatment and Irrigation groups.
a significant difference between the No Treatment and Fertilizer and Irrigation groups.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F64d6ab45-be0f-4c5d-888e-4cab0739cade%2Fbd892826-e843-4edf-aac5-076eb8ac1cb6%2Fotdken_processed.png&w=3840&q=75)
Transcribed Image Text:The accompanying data are the weights (kg) of poplar trees that were obtained from trees planted in a rich and moist region. The trees were given different treatments identified in the accompanying table. Also shown are partial results from using the Bonferroni test with the
sample data. Complete parts (a) through (c).
Click the icon to view the data table of the poplar weights and the Bonferroni results.
a. Use a 0.10 significance level to test the claim that the different treatments result in the same mean weight.
Determine the null and alternative hypotheses.
Ho
H₁₂:
Determine the test statistic.
The test statistic is
(Round to two decimal places as needed.)
Determine the P-value.
The P-value is
(Round to three decimal places as needed.)
What is the conclusion for this hypothesis test at a 0.10 significance level?
C
O A. Fail to reject Ho. There is sufficient evidence to warrant rejection of the claim that the four different treatments yield the same mean poplar weight.
OB. Reject Ho. There is sufficient evidence to warrant rejection of the claim that the four different treatments yield the same mean poplar weight.
O C. Fail to reject Ho. There is insufficient evidence to warrant rejection of the claim that the four different treatments yield the same mean poplar weight.
O D. Reject Ho. There is insufficient evidence to warrant rejection of the claim that the four different treatments yield the same mean poplar weight.
b. What do the displayed Bonferroni results tell us?
With a P-value of
there
With a P-value of
there
With a P-value of, there
(Round to three decimal places as needed.)
a significant difference between the No Treatment and Fertilizer groups.
▼a significant difference between the No Treatment and Irrigation groups.
a significant difference between the No Treatment and Fertilizer and Irrigation groups.
![Poplar Weights (kg) and Bonferroni Results
No Treatment
1.211
0.567
0.559
0.129
1.297
(1) TREATMENT
1.00
Fertilizer
0.936
0.874
0.462
0.578
1.028
Bonferroni Results
(J) TREATMENT
2.00
3.00
4.00
Irrigation
0.073
0.664
0.095
0.821
0.939
Print
Mean
Difference (I-J)
-0.0230
0.2342
- 0.8456
Done
Fertilizer and Irrigation
0.849
1.777
1.471
2.252
1.642
Sig.
1.000
Std. Error
0.26972
0.26972
1.000
0.26972 0.038
X](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F64d6ab45-be0f-4c5d-888e-4cab0739cade%2Fbd892826-e843-4edf-aac5-076eb8ac1cb6%2Fc6fhkws_processed.png&w=3840&q=75)
Transcribed Image Text:Poplar Weights (kg) and Bonferroni Results
No Treatment
1.211
0.567
0.559
0.129
1.297
(1) TREATMENT
1.00
Fertilizer
0.936
0.874
0.462
0.578
1.028
Bonferroni Results
(J) TREATMENT
2.00
3.00
4.00
Irrigation
0.073
0.664
0.095
0.821
0.939
Print
Mean
Difference (I-J)
-0.0230
0.2342
- 0.8456
Done
Fertilizer and Irrigation
0.849
1.777
1.471
2.252
1.642
Sig.
1.000
Std. Error
0.26972
0.26972
1.000
0.26972 0.038
X
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