In a study of memory process, rats were first presented with a fear-inducing stimulus on a learning task as soon as they stepped across a line in a test chamber. Afterwards, the rats were divided and given electrical stimulation either 50 or 150 milliseconds after crossing the line. In addition, the rats had stimulation electrodes implanted in different areas in their brains (Neutral Area, Area A, or Area B). Researchers were interested in the time it took the animals to re-cross the line on a subsequent learning task. The idea is that stimulation of certain areas in the brain would interfere with memory and hence delay learning to avoid the line on the subsequent learning task. The data on time to re-cross the line are below. What can be concluded with an a of 0.05? Area Time neutral A B 26 31 29 41 21 12 24 19 25 31 50 19 15 26 26 31 38 30 29 150 24 18 33 24 22

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
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Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 67E
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Application Exercise:
In a study of memory process, rats were first presented with a fear-inducing stimulus on a learning task as soon as they stepped across a line in a test chamber. Afterwards, the rats were
divided and given electrical stimulation either 50 or 150 milliseconds after crossing the line. In addition, the rats had stimulation electrodes implanted in different areas in their brains
(Neutral Area, Area A, or Area B). Researchers were interested in the time it took the animals to re-cross the line on a subsequent learning task. The idea is that stimulation of certain
areas in the brain would interfere with memory and hence delay learning to avoid the line on the subsequent learning task. The data on time to re-cross the line are below. What can be
concluded with an a of 0.05?
Area
Time
neutral
A
В
26
12
24
31
19
31
50
29
25
19
41
19
29
21
15
24
26
26
27
29
31
20
150
24
38
29
18
30
29
33
24
22
a) What is the appropriate test statistic?
Two-Way ANOVA
Transcribed Image Text:Application Exercise: In a study of memory process, rats were first presented with a fear-inducing stimulus on a learning task as soon as they stepped across a line in a test chamber. Afterwards, the rats were divided and given electrical stimulation either 50 or 150 milliseconds after crossing the line. In addition, the rats had stimulation electrodes implanted in different areas in their brains (Neutral Area, Area A, or Area B). Researchers were interested in the time it took the animals to re-cross the line on a subsequent learning task. The idea is that stimulation of certain areas in the brain would interfere with memory and hence delay learning to avoid the line on the subsequent learning task. The data on time to re-cross the line are below. What can be concluded with an a of 0.05? Area Time neutral A В 26 12 24 31 19 31 50 29 25 19 41 19 29 21 15 24 26 26 27 29 31 20 150 24 38 29 18 30 29 33 24 22 a) What is the appropriate test statistic? Two-Way ANOVA
b) Obtain/compute the appropriate values to make a decision about Ho.
Time: Critical Value = 4.26
Decision: Fail to reject H0 ♥
; Test Statistic = 1.46
Area: Critical Value = 3.40
Decision: Fail to reject H0 v
X ; Test Statistic = 1.97
Interaction: Critical Value
= 3.40
X ; Test Statistic = 6.43
Decision: Reject H0
c) Compute the corresponding effect size(s) and indicate magnitude(s).
Time: Effect Size = 0.034
Area: Effect Size = 0.0932
Interaction: Effect Size = 0.3044
X ; Magnitude: [small effect
V ; Magnitude: medium effect vx
; Magnitude: large effect
Transcribed Image Text:b) Obtain/compute the appropriate values to make a decision about Ho. Time: Critical Value = 4.26 Decision: Fail to reject H0 ♥ ; Test Statistic = 1.46 Area: Critical Value = 3.40 Decision: Fail to reject H0 v X ; Test Statistic = 1.97 Interaction: Critical Value = 3.40 X ; Test Statistic = 6.43 Decision: Reject H0 c) Compute the corresponding effect size(s) and indicate magnitude(s). Time: Effect Size = 0.034 Area: Effect Size = 0.0932 Interaction: Effect Size = 0.3044 X ; Magnitude: [small effect V ; Magnitude: medium effect vx ; Magnitude: large effect
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