a. Usea 0.10 significance level to test the claim that the different treatments result in the same mean weight. Determine the null and alternative hypotheses. Hoi H₂: 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? 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.) OA. Reject Hg. There is sufficient evidence to warrant rejection of the claim that the four different treatments yield the same mean poplar weight. OB. Fail to reject H₂. There is insufficient evidence to warrant rejection of the claim that the four different treatments yield the same mean poplar weight. OC. Reject Ho. There is insufficient evidence to warrant rejection of the claim that the four different treatments yield the same mean poplar weight. OD. 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. b. What do the displayed Bonferroni results tell us? ▾ Ho: H₂: Y ▼ 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. The test statistic is (Round to two decimal places as needed.) Find the P-value. The P-value is (Round to three decimal places as needed.) What do the results indicate at a 0.10 significance level? Poplar Weights (kg) and Bonferroni Results No Treatment 1.212 0.568 0.557 0.129 1.296 (1) TREATMENT 1.00 Fertilizer 0.937 0.871 0.458 0.575 1.034 OA. Reject Ho. There is sufficient evidence to warrant rejection of the claim that the irrigation treatment group and the group treated with both fertilizer and irrigation yield the same mean poplar weight. OB. Reject Ho. There is insufficient evidence to warrant rejection of the claim that the irrigation treatment group and the group treated with both fertilizer and irrigation yield the same mean poplar weight. OC. Fail to reject Ho. There is sufficient evidence to warrant rejection of the claim that the irrigation treatment group and the group treated with both fertilizer and irrigation yield the same mean poplar weight. Irrigation 0.069 0.658 0.103 0.816 0.943 Bonferroni Results Mean (J) TREATMENT Difference (-J) -0.0226 0.2346 -0.8464 2.00 3.00 4.00 Print Done c. Let ₁. ₂. 3. and H4 represent the mean amount of the no treatment, fertilizer, irrigation, and fertilizer and irrigation groups, respectively. Use the Bonferroni test procedure with a 0.10 significance level to test for a significant difference between the mean amount of the irrigation treatment group and the group treated with both fertilizer and irrigation. Identify the test statistic and the P-value. What do the results indicate? Determine the null and alternative hypotheses. Fertilizer and Irrigation 0.852 1.783 1.469 2.251 1.639 Std. Error Sig. 0.26967 1.000 0.26967 0.26967 1.000 0.038 X

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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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).
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:
H₁:
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?
O A. Reject Ho. There is sufficient evidence to warrant rejection of the claim that the four different treatments yield the same mean poplar weight.
O B. 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 C. 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. 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.
b. What do the displayed Bonferroni results tell us?
With a P-value of
With a P-value of
With a P-value of
, there
(Round to three decimal places as needed.)
there
there
▼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.
Ho:
H₁:
(---)
The test statistic is
(Round to two decimal places as needed.)
Find the P-value.
The P-value is.
(Round to three decimal places as needed.)
What do the results indicate at a 0.10 significance level?
Poplar Weights (kg) and Bonferroni Results
No Treatment
1.212
0.568
0.557
0.129
1.296
(1) TREATMENT
1.00
Fertilizer
0.937
0.871
0.458
0.575
1.034
O A. Reject Ho. There is sufficient evidence to warrant rejection of the claim that the irrigation treatment group and the group treated with both fertilizer and irrigation yield the same mean poplar weight.
B. Reject Ho. There is insufficient evidence to warrant rejection of the claim that the irrigation treatment group and the group treated with both fertilizer and irrigation yield the same mean poplar weight.
O C. Fail to reject Ho. There is sufficient evidence to warrant rejection of the claim that the irrigation treatment group and the group treated with both fertilizer and irrigation yield the same mean poplar weight.
OD Fail to reiert H. There is insufficient evidence to warrant reiection of the claim that the irrigation treatment aroun and the aroun treated with both fertilizer and irrigation vield the same mean nonlar weight
Bonferroni Results
(J) TREATMENT
2.00
3.00
4.00
Irrigation
0.069
0.658
0.103
0.816
0.943
Print
Mean
Difference (I-J)
-0.0226
0.2346
-0.8464
Done
Fertilizer and Irrigation
0.852
1.783
1.469
2.251
1.639
c. Let μ₁, ₂, 3, and μ represent the mean amount of the no treatment, fertilizer, irrigation, and fertilizer and irrigation groups, respectively. Use the Bonferroni test procedure with a 0.10 significance level to test for a significant difference between the mean amount of the irrigation treatment group and the group
treated with both fertilizer and irrigation. Identify the test statistic and the P-value. What do the results indicate?
Determine the null and alternative hypotheses.
Std. Error
0.26967
0.26967
0.26967
Sig.
1.000
1.000
0.038
X
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). 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: H₁: 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? O A. Reject Ho. There is sufficient evidence to warrant rejection of the claim that the four different treatments yield the same mean poplar weight. O B. 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 C. 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. 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. b. What do the displayed Bonferroni results tell us? With a P-value of With a P-value of With a P-value of , there (Round to three decimal places as needed.) there there ▼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. Ho: H₁: (---) The test statistic is (Round to two decimal places as needed.) Find the P-value. The P-value is. (Round to three decimal places as needed.) What do the results indicate at a 0.10 significance level? Poplar Weights (kg) and Bonferroni Results No Treatment 1.212 0.568 0.557 0.129 1.296 (1) TREATMENT 1.00 Fertilizer 0.937 0.871 0.458 0.575 1.034 O A. Reject Ho. There is sufficient evidence to warrant rejection of the claim that the irrigation treatment group and the group treated with both fertilizer and irrigation yield the same mean poplar weight. B. Reject Ho. There is insufficient evidence to warrant rejection of the claim that the irrigation treatment group and the group treated with both fertilizer and irrigation yield the same mean poplar weight. O C. Fail to reject Ho. There is sufficient evidence to warrant rejection of the claim that the irrigation treatment group and the group treated with both fertilizer and irrigation yield the same mean poplar weight. OD Fail to reiert H. There is insufficient evidence to warrant reiection of the claim that the irrigation treatment aroun and the aroun treated with both fertilizer and irrigation vield the same mean nonlar weight Bonferroni Results (J) TREATMENT 2.00 3.00 4.00 Irrigation 0.069 0.658 0.103 0.816 0.943 Print Mean Difference (I-J) -0.0226 0.2346 -0.8464 Done Fertilizer and Irrigation 0.852 1.783 1.469 2.251 1.639 c. Let μ₁, ₂, 3, and μ represent the mean amount of the no treatment, fertilizer, irrigation, and fertilizer and irrigation groups, respectively. Use the Bonferroni test procedure with a 0.10 significance level to test for a significant difference between the mean amount of the irrigation treatment group and the group treated with both fertilizer and irrigation. Identify the test statistic and the P-value. What do the results indicate? Determine the null and alternative hypotheses. Std. Error 0.26967 0.26967 0.26967 Sig. 1.000 1.000 0.038 X
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