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
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) below.
Poplar weights (kg) and bonferroni results
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NoTreatment | Fertilizer | Irrigation | FertilizerandIrrigation | |
---|---|---|---|---|
1.17 | 1.02 | 0.08 | 0.92 | |
0.56 | 0.98 | 0.55 | 1.73 | |
0.48 | 0.59 | 0.06 | 1.44 | |
0.13 | 0.45 | 0.66 | 2.35 | |
1.39 | 0.94 | 0.72 | 1.71 |
Bonferroni Results
Mean | |||||
---|---|---|---|---|---|
(I) TREATMENT | (J) TREATMENT | Difference(I-J) | Std. Error | Sig. | |
1.00 | 2.00 | 0.0500 | 0.26983 | 1.000 | |
3.00 | 0.3320 | 0.26983 | 1.000 | ||
4.00 | 0.8840 | 0.26983 | 0.026 |
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.
H0:
H1:
Find the test statistic.
(Round to two decimal places asneeded.)
Find theP-value.
P-value=
(Round to three decimal places asneeded.)
What is the conclusion for this hypothesistest?
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 theP-value. What do the resultsindicate?
The test statistic is
(Round to two decimal places asneeded.)
Find theP-value.
P-value=
(Round to three decimal places asneeded.)
What do the resultsindicate?
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