Is Carly 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.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 54E
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The viruses causing problems in strawberry plants are mainly spread by one insect, the strawberry aphid. Carly 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. (Attach on side)

Is Carly 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)?
(Y; - Y)?
(X; - X)(Y; - Y)
4
150
1.96
676
-36.4
4
125
1.96
1
-1.4
5.
130
0.16
36
-2.4
6
115
0.36
81
-5.4
100
6.76
576
-62.4
= 27
-- 620
1370
E=-108
%3D
£/5=5.4
Σ5-124
2/4= 2.8
4 = 342.5
£/4 = -27
Transcribed Image Text:Aphids (mg/plant) Plant weight (g/plant) (X; - X)? (Y; - Y)? (X; - X)(Y; - Y) 4 150 1.96 676 -36.4 4 125 1.96 1 -1.4 5. 130 0.16 36 -2.4 6 115 0.36 81 -5.4 100 6.76 576 -62.4 = 27 -- 620 1370 E=-108 %3D £/5=5.4 Σ5-124 2/4= 2.8 4 = 342.5 £/4 = -27
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