An agronomist is evaluating the resistance to insect herbivory of a two genetically modified strains of soybean (GM1 and GM2) vs. an unmodified control strain. Fields 1 and 4 are planted with GM1 soybean, fields 2 and 5 are planted with GM2 soybean and fields 3 and 6 are planted with the control strain of soybean. Within each field 20 soybean plants are randomly selected and the proportion of leaves on each plant that have suffered insect damage is quantified. The unit of observation in this study is the individual soybean plant. Evaluate the null hypothesis that there is no difference in insect damage between the three strains of soybean. The data from this experiment is pictured below. A. Identify the appropriate statistical test to evaluate the stated null hypothesis. Explain why this test is appropriate, based upon the types of independent and dependent variables, the structure of the data and any relevant assumptions of statistical tests. You should be lenient when it comes to interpreting the normality assumption on this problem. B. Conduct the statistical test that you have chosen. Provide your R script and output. State your conclusions concerning the null hypothesis. PintID Strain FieldID PropDam 1 GM1 0.28 2 GM1 65 GM2 5 0 66 GM2 5 0 3 GMI 0 1 GM1 0.29 67 GM2 5 0.27 5 GM1 0.08 68 GM2 5 0.11 6 GM1 0 69 GM2 5 0.19 7 GM1 0.45 70 GM2 5 0.21 8 GM1 0.21 71 GM2 5 0 9 GMI 0.36 72 GM2 5 0.28 10 GMI 0.28 73 GM2 5 0.16 11 GM1 0.22 74 GM2 5 0.38 12 GM1 0.53 75 GM2 5 0.34 13 GM1 0.08 76 GM2 5 0.28 14 GM1 0.08 15 GM1 0.05 77 GM2 5 0.16 16 GM1 0.26 78 GM2 5 0 17 GM1 0.1 79 GM2 5 0.03 18 GM1 0 80 GM2 5 0.49 19 GMI 0.13 81 CON 3 0.77 20 GM1 0.36 82 CON 3 0.52 21 GM1 0 83 CON 3 0.19 22 GM1 0.23 84 CON 3 0.88 23 GM1 0 85 CON 3 0.2 24 GM1 0.27 86 CON 3 0.62 25 GM1 0 26 GM1 0 87 CON 3 0.41 27 GM1 0.07 88 CON 3 0.48 28 GM1 0 89 CON 3 0.32 29 GMI 0.61 90 CON 3 0.67 30 GM1 0.38 91 CON 3 0.93 31 GM1 0.15. 92 CON 3 0.61 32 GM1 0.18 93 CON 3 0.68 33 GM1 0.25 94 CON 3 0.39 34 GM1 0.09 95 CON 3 0.32 35 GM1 0.31 36 GM1 0.34 96 CON 3 0.4 37 GM1 0.1 97 CON 3 0.58 38 GM1 0.26 98 CON 3 0.31 39 GMI 0.09 99 CON 3 0.45 40 GM1 0.21 100 CON 3 0.4 41 GM2 2 0.11 101 CON 6 0.38 42 GM2 2 0.14 102 CON 6 0.22 43 GM2 2 0.23 103 CON 6 0.59 44 GM2 2 0.09 104 CON 6 0.37 45 GM2 2 0.26 105 CON 6 46 GM2 2 0.94 0.12 47 GM2 2 0.11 106 CON 6 0.86 48 GM2 2 0.37 107 CON 6 49 GM2 2 0.15 108 CON 6 0 50 GM2 2 0.05 109 CON 6 0.23 51 GM2 2 0.32 110 CON 6 0 52 GM2 2 0.16 111 CON 6 0.43 53 GM2 2 0.05 112 CON 6 0.53 54 GM2 2 0 113 CON 6 0.44 55 GM2 2 0.14 114 CON 6 0.58 56 GM2 2 0 57 GM2 2 115 CON 6 0.3 0.08 58 GM2 2 0.15 116 CON 6 0.18 59 GM2 2 0 117 CON 6 0.16 60 GM2 2 0.13 118 CON 6 0.05 61 GM2 5 0.02 119 CON 6 0.4 62 GM2 5 0.06 120 CON 6 0.37 63 GM2 5 0.08 64 GM2 5 0
An agronomist is evaluating the resistance to insect herbivory of a two genetically modified strains of soybean (GM1 and GM2) vs. an unmodified control strain. Fields 1 and 4 are planted with GM1 soybean, fields 2 and 5 are planted with GM2 soybean and fields 3 and 6 are planted with the control strain of soybean. Within each field 20 soybean plants are randomly selected and the proportion of leaves on each plant that have suffered insect damage is quantified. The unit of observation in this study is the individual soybean plant. Evaluate the null hypothesis that there is no difference in insect damage between the three strains of soybean. The data from this experiment is pictured below. A. Identify the appropriate statistical test to evaluate the stated null hypothesis. Explain why this test is appropriate, based upon the types of independent and dependent variables, the structure of the data and any relevant assumptions of statistical tests. You should be lenient when it comes to interpreting the normality assumption on this problem. B. Conduct the statistical test that you have chosen. Provide your R script and output. State your conclusions concerning the null hypothesis. PintID Strain FieldID PropDam 1 GM1 0.28 2 GM1 65 GM2 5 0 66 GM2 5 0 3 GMI 0 1 GM1 0.29 67 GM2 5 0.27 5 GM1 0.08 68 GM2 5 0.11 6 GM1 0 69 GM2 5 0.19 7 GM1 0.45 70 GM2 5 0.21 8 GM1 0.21 71 GM2 5 0 9 GMI 0.36 72 GM2 5 0.28 10 GMI 0.28 73 GM2 5 0.16 11 GM1 0.22 74 GM2 5 0.38 12 GM1 0.53 75 GM2 5 0.34 13 GM1 0.08 76 GM2 5 0.28 14 GM1 0.08 15 GM1 0.05 77 GM2 5 0.16 16 GM1 0.26 78 GM2 5 0 17 GM1 0.1 79 GM2 5 0.03 18 GM1 0 80 GM2 5 0.49 19 GMI 0.13 81 CON 3 0.77 20 GM1 0.36 82 CON 3 0.52 21 GM1 0 83 CON 3 0.19 22 GM1 0.23 84 CON 3 0.88 23 GM1 0 85 CON 3 0.2 24 GM1 0.27 86 CON 3 0.62 25 GM1 0 26 GM1 0 87 CON 3 0.41 27 GM1 0.07 88 CON 3 0.48 28 GM1 0 89 CON 3 0.32 29 GMI 0.61 90 CON 3 0.67 30 GM1 0.38 91 CON 3 0.93 31 GM1 0.15. 92 CON 3 0.61 32 GM1 0.18 93 CON 3 0.68 33 GM1 0.25 94 CON 3 0.39 34 GM1 0.09 95 CON 3 0.32 35 GM1 0.31 36 GM1 0.34 96 CON 3 0.4 37 GM1 0.1 97 CON 3 0.58 38 GM1 0.26 98 CON 3 0.31 39 GMI 0.09 99 CON 3 0.45 40 GM1 0.21 100 CON 3 0.4 41 GM2 2 0.11 101 CON 6 0.38 42 GM2 2 0.14 102 CON 6 0.22 43 GM2 2 0.23 103 CON 6 0.59 44 GM2 2 0.09 104 CON 6 0.37 45 GM2 2 0.26 105 CON 6 46 GM2 2 0.94 0.12 47 GM2 2 0.11 106 CON 6 0.86 48 GM2 2 0.37 107 CON 6 49 GM2 2 0.15 108 CON 6 0 50 GM2 2 0.05 109 CON 6 0.23 51 GM2 2 0.32 110 CON 6 0 52 GM2 2 0.16 111 CON 6 0.43 53 GM2 2 0.05 112 CON 6 0.53 54 GM2 2 0 113 CON 6 0.44 55 GM2 2 0.14 114 CON 6 0.58 56 GM2 2 0 57 GM2 2 115 CON 6 0.3 0.08 58 GM2 2 0.15 116 CON 6 0.18 59 GM2 2 0 117 CON 6 0.16 60 GM2 2 0.13 118 CON 6 0.05 61 GM2 5 0.02 119 CON 6 0.4 62 GM2 5 0.06 120 CON 6 0.37 63 GM2 5 0.08 64 GM2 5 0
Cornerstones of Cost Management (Cornerstones Series)
4th Edition
ISBN:9781305970663
Author:Don R. Hansen, Maryanne M. Mowen
Publisher:Don R. Hansen, Maryanne M. Mowen
Chapter14: Quality And Environmental Cost Management
Section: Chapter Questions
Problem 23E: Coyle Pharmaceuticals produces two organic chemicals (Org AB and Org XY) used in the production of...
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