9.20 The Agricultural Experiment Station of a university tested two different herbicides and their effects on crop yield. From 90 acres set aside for the experiment, the station used herbicide 1 on a random sample of 30 acres and herbicide 2 on a second random sample of 30 acres; they used the remaining 30 acres as a control. At the end of the growing season, the yields (in bushels per acre) were as follows: Herbicide 1 81.2 81.1 79.9 84.6 80.4 74.4 81.7 90.1 102.4 89.2 92.0 91.7 75.9 95.1 76.1 83.0 88.0 80.5 73.6 80.4 103.2 85.9 73.6 80.0 82.4 79.5 99.8 96.6 81.3 94.7 Herbicide 2 94.8 90.9 85.2 83.3 95.5 85.4 87.1 89.6 83.7 88.7 91.4 85.4 89.0 92.4 85.0 91.0 89.2 100.9 88.5 90.3 87.6 80.7 90.0 101.0 92.1 97.9 92.5 88.8 89.4 100.1 Control 94.7 79.5 91.4 82.6 96.9 85.4 80.8 90.6 88.6 80.8 78.1 82.5 93.5 83.1 90.5 89.2 82.0 84.1 90.1 84.5 81.2 92.4 90.5 82.0 106.6 96.9 76.1 101.8 77.5 88.8 a. Compare the mean yields of herbicide 1 and herbicide 2 to the control treatment. Use a = .05. b. Should the procedure you used in part (a) be a one-sided or a two-sided procecedures? c. Interpret your findings in part (a).
9.20 The Agricultural Experiment Station of a university tested two different herbicides and their effects on crop yield. From 90 acres set aside for the experiment, the station used herbicide 1 on a random sample of 30 acres and herbicide 2 on a second random sample of 30 acres; they used the remaining 30 acres as a control. At the end of the growing season, the yields (in bushels per acre) were as follows: Herbicide 1 81.2 81.1 79.9 84.6 80.4 74.4 81.7 90.1 102.4 89.2 92.0 91.7 75.9 95.1 76.1 83.0 88.0 80.5 73.6 80.4 103.2 85.9 73.6 80.0 82.4 79.5 99.8 96.6 81.3 94.7 Herbicide 2 94.8 90.9 85.2 83.3 95.5 85.4 87.1 89.6 83.7 88.7 91.4 85.4 89.0 92.4 85.0 91.0 89.2 100.9 88.5 90.3 87.6 80.7 90.0 101.0 92.1 97.9 92.5 88.8 89.4 100.1 Control 94.7 79.5 91.4 82.6 96.9 85.4 80.8 90.6 88.6 80.8 78.1 82.5 93.5 83.1 90.5 89.2 82.0 84.1 90.1 84.5 81.2 92.4 90.5 82.0 106.6 96.9 76.1 101.8 77.5 88.8 a. Compare the mean yields of herbicide 1 and herbicide 2 to the control treatment. Use a = .05. b. Should the procedure you used in part (a) be a one-sided or a two-sided procecedures? c. Interpret your findings in part (a).
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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9.20
The Agricultural Experiment Station of a university tested two different herbicides and their effects on crop yield. From 90 acres set aside for the experiment, the station used herbicide 1 on a random sample of 30 acres and herbicide 2 on a second random sample of 30 acres; they used the remaining 30 acres as a control. At the end of the growing season, the yields (in bushels per acre) were as follows:
Herbicide 1
| 81.2 | 81.1 | 79.9 | 84.6 | 80.4 | 74.4 | 81.7 | 90.1 | 102.4 | 89.2 |
| 92.0 | 91.7 | 75.9 | 95.1 | 76.1 | 83.0 | 88.0 | 80.5 | 73.6 | 80.4 |
| 103.2 | 85.9 | 73.6 | 80.0 | 82.4 | 79.5 | 99.8 | 96.6 | 81.3 | 94.7 |
Herbicide 2
| 94.8 | 90.9 | 85.2 | 83.3 | 95.5 | 85.4 | 87.1 | 89.6 | 83.7 | 88.7 |
| 91.4 | 85.4 | 89.0 | 92.4 | 85.0 | 91.0 | 89.2 | 100.9 | 88.5 | 90.3 |
| 87.6 | 80.7 | 90.0 | 101.0 | 92.1 | 97.9 | 92.5 | 88.8 | 89.4 | 100.1 |
Control
| 94.7 | 79.5 | 91.4 | 82.6 | 96.9 | 85.4 | 80.8 | 90.6 | 88.6 | 80.8 |
| 78.1 | 82.5 | 93.5 | 83.1 | 90.5 | 89.2 | 82.0 | 84.1 | 90.1 | 84.5 |
| 81.2 | 92.4 | 90.5 | 82.0 | 106.6 | 96.9 | 76.1 | 101.8 | 77.5 | 88.8 |
a. Compare the mean yields of herbicide 1 and herbicide 2 to the control treatment. Use a = .05.
b. Should the procedure you used in part (a) be a one-sided or a two-sided procecedures?
c. Interpret your findings in part (a).
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