A new type of corn seed has been developed and a team of agronomists wanted to determine whether there was a significant difference between the types of soils that they are planted in (loam, sandy, salty, clay) based on the yiel of the crop, the amount of water required, and the amount of herbicide needed Eight fields of each type were chosen for the analysis. Correlation matrix yield water herbicide Box's M Test M df1 df2 F p-value yield water herbicide 1 0.202663 0.202663 -0.12991 0.223694 14.97038 18 2770.454 0.665392 0.847974 1 -0.129914711 0.223694166 MANOVA 1 Pillai Trace Wilk's Lambda Hotelling Trace Determinant E Detrminant T stat 0.5345 0.9946 916097489.2 1871826093 Group Means loam sandy salty clay total F yield water herbicide count 32.7375 6.3875 B 69.7125 62.575 28.2 4.35 3.8625 55.3125 30.6375 58.8375 33.0875 4.0875 61.60938 31.16563 4.671875 df1 df2 p-value eto-sq 0.046408 0.178167 0.020472 0.254426 0.008399 0.243993 Based on the MANOVA output, what is the value of the Wilk's Lambda statistic? (final answer to 4 decimal places) What is the value of df1 associated with the F-statistic of Wilk's Lambda? (final answer is a whole number)

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A new type of corn seed has been developed and a team of agronomists
wanted to determine whether there was a significant difference between the
types of soils that they are planted in (loam, sandy, salty, clay) based on the yield
of the crop, the amount of water required, and the amount of herbicide needed.
Eight fields of each type were chosen for the analysis.
Correlation matrix
yield
water
herbicide
Box's M Test
df1
df2
F
p-value
yield water herbicide
1 0.202663
0.202663
-0.12991 0.223694
14.97038
18
2770.454
0.665392
0.847974
1
-0.129914711
0.223694166
MANOVA
1
Pillai Trace
Wilk's Lambda
Hotelling Trace
Determinant E
Detrminant T
stat
0.5345
0.9946
916097489.2
1871826093
Group Means
loam
sandy
salty
clay
total
F
yield
water herbicide
69.7125 32.7375 6.3875
62.575
28.2
4.35
55.3125 30.6375 3.8625
58.8375 33.0875 4.0875
61.60938 31.16563 4.671875
df1
df2
count
Based on the MANOVA output, what is the value of the Wilk's Lambda
statistic? (final answer to 4 decimal places)
p-value
eto-sq
0.046408 0.178167
0.020472 0.254426
0.008399 0.243993
8
8
What is the value of df1 associated with the F-statistic of Wilk's Lambda? (final
answer is a whole number)
Transcribed Image Text:A new type of corn seed has been developed and a team of agronomists wanted to determine whether there was a significant difference between the types of soils that they are planted in (loam, sandy, salty, clay) based on the yield of the crop, the amount of water required, and the amount of herbicide needed. Eight fields of each type were chosen for the analysis. Correlation matrix yield water herbicide Box's M Test df1 df2 F p-value yield water herbicide 1 0.202663 0.202663 -0.12991 0.223694 14.97038 18 2770.454 0.665392 0.847974 1 -0.129914711 0.223694166 MANOVA 1 Pillai Trace Wilk's Lambda Hotelling Trace Determinant E Detrminant T stat 0.5345 0.9946 916097489.2 1871826093 Group Means loam sandy salty clay total F yield water herbicide 69.7125 32.7375 6.3875 62.575 28.2 4.35 55.3125 30.6375 3.8625 58.8375 33.0875 4.0875 61.60938 31.16563 4.671875 df1 df2 count Based on the MANOVA output, what is the value of the Wilk's Lambda statistic? (final answer to 4 decimal places) p-value eto-sq 0.046408 0.178167 0.020472 0.254426 0.008399 0.243993 8 8 What is the value of df1 associated with the F-statistic of Wilk's Lambda? (final answer is a whole number)
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