Thomas and Camille are international visiting scientists with research interests in horticultural and environmental issues in urban areas. They participate in various studies performed by Ville de Montréal. More specifically, they address issues related to plant diseases in city gardens, air and water quality, and food waste management.   The viruses causing problems in strawberry plants are mainly spread by one insect, the strawberry aphid. Camille believes that as aphids feed on leaves, they transmit viruses that can cause a rapid decrease in plant growth. She decides to verify whether or not the number of strawberry aphids found on a plant could be linked to its growth. She therefore randomly chooses 5 strawberry plants at the same stage of development in a virus-infested garden. For each individual plant, she first collects all the aphids present on the plant and weighs them, and then weighs the entire plant to have a measure of plant growth. She obtains the following data. 8) Is Camille correct in thinking that when the number of aphids on a plant is larger, the growth of the plant is affected (i.e., its weight is smaller)? Apply the appropriate statistical method with a test of significance at α = 0.05.

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
Topic Video
Question

Thomas and Camille are international visiting scientists with research interests in horticultural and environmental issues in urban areas. They participate in various studies performed by Ville de Montréal. More specifically, they address issues related to plant diseases in city gardens, air and water quality, and food waste management.

 

The viruses causing problems in strawberry plants are mainly spread by one insect, the strawberry aphid. Camille believes that as aphids feed on leaves, they transmit viruses that can cause a rapid decrease in plant growth. She decides to verify whether or not the number of strawberry aphids found on a plant could be linked to its growth. She therefore randomly chooses 5 strawberry plants at the same stage of development in a virus-infested garden. For each individual plant, she first collects all the aphids present on the plant and weighs them, and then weighs the entire plant to have a measure of plant growth. She obtains the following data.

8) Is Camille correct in thinking that when the number of aphids on a plant is larger, the growth of the plant is affected (i.e., its weight is smaller)? Apply the appropriate statistical method with a test of significance at α = 0.05.

Aphids
(mg/plant)
Plant weight
(g/plant)
(X,-X)²
(Y, - Y)2
(X; - X)(Y, - ¥)
4.
150
1.96
676
-36.4
4.
125
1.96
1
-1.4
130
0.16
36
-2.4
6.
115
0.36
81
-5.4
8.
100
6.76
576
-62.4
Σ=27
11.2
-1370
-3
-108
2/5-5.4
Σ5-124
Σ4-2.8
E4-342.5
4--27
Transcribed Image Text:Aphids (mg/plant) Plant weight (g/plant) (X,-X)² (Y, - Y)2 (X; - X)(Y, - ¥) 4. 150 1.96 676 -36.4 4. 125 1.96 1 -1.4 130 0.16 36 -2.4 6. 115 0.36 81 -5.4 8. 100 6.76 576 -62.4 Σ=27 11.2 -1370 -3 -108 2/5-5.4 Σ5-124 Σ4-2.8 E4-342.5 4--27
Expert Solution
steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Discrete Probability Distributions
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
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