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In Exercise use analysis of variance for
Chapter 12, Problem 13 BSC(choose chapter or problem)
QUESTION:
Problem 13BSC
In Exercise use analysis of variance for the indicated test.Poplar Tree Weights Weights (kg) of poplar trees were obtained from trees planted in a rich and moist region. The trees were given different treatments identified in the table below. The data are from a study conducted by researchers at Pennsylvania State University and were provided by Minitab, Inc. Use a 0.05 significance level to test the claim that the four treatment categories yield poplar trees with the same mean weight. Is there a treatment that appears to be most effective?No Treatment | Fertilizer | Irrigation | Fertilizer and Irrigation |
1.21 | 0.94 | 0.07 | 0.85 |
0.57 | 0.87 | 0.66 | 1.78 |
0.56 | 0.46 | 0.10 | 1.47 |
0.13 | 0.58 | 0.82 | 2.25 |
1.30 | 1.03 | 0.94 | 1.64 |
Questions & Answers
QUESTION:
Problem 13BSC
In Exercise use analysis of variance for the indicated test.Poplar Tree Weights Weights (kg) of poplar trees were obtained from trees planted in a rich and moist region. The trees were given different treatments identified in the table below. The data are from a study conducted by researchers at Pennsylvania State University and were provided by Minitab, Inc. Use a 0.05 significance level to test the claim that the four treatment categories yield poplar trees with the same mean weight. Is there a treatment that appears to be most effective?No Treatment | Fertilizer | Irrigation | Fertilizer and Irrigation |
1.21 | 0.94 | 0.07 | 0.85 |
0.57 | 0.87 | 0.66 | 1.78 |
0.56 | 0.46 | 0.10 | 1.47 |
0.13 | 0.58 | 0.82 | 2.25 |
1.30 | 1.03 | 0.94 | 1.64 |
Solution 13BSC
Step 1 of 3
Step 1: Assumptions check: Before starting the ANOVA, we must check on some requirements.
1. The values of Shapiro-wilk statistic are .428, .464, .196 and .910 for no treatment, fertilizer, irrigation and fertilizer plus irrigation respectively. These values are greater than 0.05 so the data is normal.
Tests of Normality |
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Kolmogorov-Smirnov a |
Shapiro-Wilk |
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Statistic |
df |
Sig. |
Statistic |
Df |
Sig. |
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No treatment |