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

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
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
Expert Solution
steps

Step by step

Solved in 3 steps with 8 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman