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). No treatment Fertilizer Irrigation Fertilizer and Irrigation 1.26 1.06 0.08 0.84 0.62 0.87 0.59 1.88 0.53 0.49 0.09 1.48 0.11 0.58 0.85 2.29 1.29 0.95 0.92 1.75
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). No treatment Fertilizer Irrigation Fertilizer and Irrigation 1.26 1.06 0.08 0.84 0.62 0.87 0.59 1.88 0.53 0.49 0.09 1.48 0.11 0.58 0.85 2.29 1.29 0.95 0.92 1.75
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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Question
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).
No treatment
|
Fertilizer |
Irrigation
|
Fertilizer and Irrigation
|
|
---|---|---|---|---|
1.26
|
1.06
|
0.08
|
0.84
|
|
0.62
|
0.87
|
0.59
|
1.88
|
|
0.53
|
0.49
|
0.09
|
1.48
|
|
0.11
|
0.58
|
0.85
|
2.29
|
|
1.29
|
0.95
|
0.92
|
1.75
|
Bonferroni Results
(I) TREATMENT
|
(J) TREATMENT
|
|
Std. Error
|
Sig | |
---|---|---|---|---|---|
1.00
|
2.00
|
−0.0280
|
|
0.25647
|
1.000
|
|
3.00
|
0.2560
|
|
0.25647
|
1.000
|
|
4.00
|
−0.8860
|
|
0.25647
|
0.034
|
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.
Find the test statistic (round to two decimal places as needed).
Find the P-value(round to two decimal places as needed).
b. What do the displayed Bonferroni results tell us?
c. 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?
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