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Fruits and vegetables are difficult crops to maintain due to all of the potential natural consumers of the plants. Humans aren't the only creatures who desire to feed on these plants. Thus, humans create chemicals to deter animal consumption while not also rendering the fruits and vegetables inedible to humans. Four such chemicals are tested on three different types of fruit trees, and the percentage yield of consumable fruit was recorded in the following table for each tree in the study (2 trees per type/chemical combination). Perform the complete and appropriate analysis of variance testing procedure for all interaction and main effects using a = 0.01, including all appropriate 6-step tests, and perform multiple comparisons if appropriate. Be sure to create a profile plot of the means and check the assumptions, when possible. Also, (if appropriate) use the relevant Tukey-Kramer procedure to determine which pairs of means are significantly different and which are similar (or explain why T-K is not appropriate). CHEMICAL FRUIT TREE TYPE FRUIT X FRUIT Y FRUIT Z CHEM 1 85 99 53 48 85 73 CHEM 2 85 92 40 45 67 58 CHEM 3 79 72 43 38 53 42 CHEM 4 66 68 49 39 65 51

Fruits and vegetables are difficult crops to maintain due to all of the potential natural consumers of the plants. Humans aren't the only creatures who desire to feed on these plants. Thus, humans create chemicals to deter animal consumption while not also rendering the fruits and vegetables inedible to humans. Four such chemicals are tested on three different types of fruit trees, and the percentage yield of consumable fruit was recorded in the following table for each tree in the study (2 trees per type/chemical combination). Perform the complete and appropriate analysis of variance testing procedure for all interaction and main effects using a = 0.01, including all appropriate 6-step tests, and perform multiple comparisons if appropriate. Be sure to create a profile plot of the means and check the assumptions, when possible. Also, (if appropriate) use the relevant Tukey-Kramer procedure to determine which pairs of means are significantly different and which are similar (or explain why T-K is not appropriate). CHEMICAL FRUIT TREE TYPE FRUIT X FRUIT Y FRUIT Z CHEM 1 85 99 53 48 85 73 CHEM 2 85 92 40 45 67 58 CHEM 3 79 72 43 38 53 42 CHEM 4 66 68 49 39 65 51

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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Fruits and vegetables are difficult crops to maintain due to all of the potential natural consumers of the plants. Humans aren't the only creatures who desire to feed on these plants. Thus, humans create chemicals to deter animal consumption while not also rendering the fruits and vegetables inedible to humans. Four such chemicals are tested on three different types of fruit trees, and the percentage yield of consumable fruit was recorded in the following table for each tree in the study (2 trees per type/chemical combination). Perform the complete and appropriate analysis of variance testing procedure for all interaction and main effects using a = 0.01, including all appropriate 6-step tests, and perform multiple comparisons if appropriate. Be sure to create a profile plot of the means and check the assumptions, when possible. Also, (if appropriate) use the relevant Tukey-Kramer procedure to determine which pairs of means are significantly different and which are similar (or explain why T-K is not appropriate). CHEMICAL FRUIT TREE TYPE FRUIT X FRUIT Y FRUIT Z CHEM 1 85 99 53 48 85 73 CHEM 2 85 92 40 45 67 58 CHEM 3 79 72 43 38 53 42 CHEM 4 66 68 49 39 65 51
Transcribed Image Text:Fruits and vegetables are difficult crops to maintain due to all of the potential natural consumers of the plants. Humans aren't the only creatures who desire to feed on these plants. Thus, humans create chemicals to deter animal consumption while not also rendering the fruits and vegetables inedible to humans. Four such chemicals are tested on three different types of fruit trees, and the percentage yield of consumable fruit was recorded in the following table for each tree in the study (2 trees per type/chemical combination). Perform the complete and appropriate analysis of variance testing procedure for all interaction and main effects using a = 0.01, including all appropriate 6-step tests, and perform multiple comparisons if appropriate. Be sure to create a profile plot of the means and check the assumptions, when possible. Also, (if appropriate) use the relevant Tukey-Kramer procedure to determine which pairs of means are significantly different and which are similar (or explain why T-K is not appropriate). CHEMICAL FRUIT TREE TYPE FRUIT X FRUIT Y FRUIT Z CHEM 1 85 99 53 48 85 73 CHEM 2 85 92 40 45 67 58 CHEM 3 79 72 43 38 53 42 CHEM 4 66 68 49 39 65 51
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