8. The 2008 Olympics were full of controversy about new swimsuits possible providing unfair advantages to swimmers, leading to new international rules. A study tested whether wearing wetsuits influences swimming velocity. The data are shown below are maximum velocities achieved for swimmers in 1500 m swims (meters per second). Swimmer 1 2 3 4 5 6 7 8 9 10 11 12 S χ Wetsuit 1.57 1.47 1.42 1.35 1.22 1.75 1.64 1.57 1.56 No wetsuit 1.49 1.37 1.35 1.27 1.12 1.64 1.59 1.52 1.50 Difference 0.08 0.10 0.07 0.08 0.10 0.11 0.05 0.05 0.06 1.53 1.49 1.45 1.44 0.08 0.05 0.10 0.078 0.022 1.51 1.41 1.429 0.141 1.507 0.136 Test using a significance level of 0.05 whether the mean maximum velocity is higher when wearing a wetsuit than without a wetsuit. You may assume that all conditions are satisfied.
8. The 2008 Olympics were full of controversy about new swimsuits possible providing unfair advantages to swimmers, leading to new international rules. A study tested whether wearing wetsuits influences swimming velocity. The data are shown below are maximum velocities achieved for swimmers in 1500 m swims (meters per second). Swimmer 1 2 3 4 5 6 7 8 9 10 11 12 S χ Wetsuit 1.57 1.47 1.42 1.35 1.22 1.75 1.64 1.57 1.56 No wetsuit 1.49 1.37 1.35 1.27 1.12 1.64 1.59 1.52 1.50 Difference 0.08 0.10 0.07 0.08 0.10 0.11 0.05 0.05 0.06 1.53 1.49 1.45 1.44 0.08 0.05 0.10 0.078 0.022 1.51 1.41 1.429 0.141 1.507 0.136 Test using a significance level of 0.05 whether the mean maximum velocity is higher when wearing a wetsuit than without a wetsuit. You may assume that all conditions are satisfied.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:8. The 2008 Olympics were full of controversy about new swimsuits possible providing unfair advantages to swimmers, leading to
new international rules. A study tested whether wearing wetsuits influences swimming velocity. The data are shown below are
maximum velocities achieved for swimmers in 1500 m swims (meters per second).
Swimmer
1
2
3
4
5
6
7
8
9
10
11
12
S
χ
Wetsuit
1.57
1.47
1.42
1.35
1.22
1.75
1.64
1.57
1.56
No wetsuit
1.49
1.37
1.35
1.27
1.12
1.64
1.59
1.52
1.50
Difference
0.08
0.10 0.07
0.08
0.10
0.11
0.05
0.05
0.06
1.53 1.49
1.45 1.44
0.08 0.05 0.10 0.078 0.022
1.51
1.41 1.429 0.141
1.507 0.136
Test using a significance level of 0.05 whether the mean maximum velocity is higher when wearing a wetsuit than without a wetsuit.
You may assume that all conditions are satisfied.
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