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

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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).

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
Mean Difference​ (I-J)
 
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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