3. Data on the amount of wear measured with two different materials A and B for shoes is shown: Shoes A A Foot B B Foot d (B-A) 1 13.2 L 14.0 R 0.8 2 8.2 L 8.8 R 0.6 3 10.9 R 11.2 L 0.3 4 14.3 L 14.2 R -0.1 5 10.7 R 11.8 L 1.1 6 6.6 L 6.4 R -0.2 7 9.5 L 9.8 R 0.3 8 10.8 L 11.3 R 0.5 9 8.8 R 9.3 L 0.5 10 13.3 L 13.6 R 0.3 Does the type of material matter for the wear on the shoes? What is the confidence limit that there is at least some difference? What is that difference? Does the choice of foot that the material was used on matter? Is this "good" data?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 28EQ
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Question
3. Data on the amount of wear measured with two different materials A and B
for shoes is shown:
Shoes
A
A Foot
B
B Foot
d (B-A)
1
13.2
L
14.0
R
0.8
2
8.2
L
8.8
R
0.6
3
10.9
R
11.2
L
0.3
4
14.3
L
14.2
R
-0.1
5
10.7
R
11.8
L
1.1
6
6.6
L
6.4
R
-0.2
7
9.5
L
9.8
R
0.3
8
10.8
L
11.3
R
0.5
9
8.8
R
9.3
L
0.5
10
13.3
L
13.6
R
0.3
Does the type of material matter for the wear on the shoes? What is the
confidence limit that there is at least some difference? What is that
difference? Does the choice of foot that the material was used on matter? Is
this "good" data?
Transcribed Image Text:3. Data on the amount of wear measured with two different materials A and B for shoes is shown: Shoes A A Foot B B Foot d (B-A) 1 13.2 L 14.0 R 0.8 2 8.2 L 8.8 R 0.6 3 10.9 R 11.2 L 0.3 4 14.3 L 14.2 R -0.1 5 10.7 R 11.8 L 1.1 6 6.6 L 6.4 R -0.2 7 9.5 L 9.8 R 0.3 8 10.8 L 11.3 R 0.5 9 8.8 R 9.3 L 0.5 10 13.3 L 13.6 R 0.3 Does the type of material matter for the wear on the shoes? What is the confidence limit that there is at least some difference? What is that difference? Does the choice of foot that the material was used on matter? Is this "good" data?
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