9. For questions 9.1-9.5, refer to the following problem. A fitness trainer developed a set of breathing exercises aimed to improve one' speed. To test these new exercises, this trainer randomly selected 12 from his regular clients and asked to run a total distance of 2 km. The next day, he asked the same respondents to undergo his breathing exercises and run a total distance of 2 km afterwards. He recorded the total time (in minutes) of his 12 clients from both runs (data given in the table below). At 1% level of significance, is there sufficient evidence to conclude that these new breathing exercises enhance one's speed? 9.1. Which type of sampling was used? Independent Related First Run 13.72 8.75 9.35 4.37 6.52 9.33 7.53 8.21 11.25 15.65 8.46 6.74 Second Run 8.69 6.21 9.01 4.52 4.27 7.21 4.92 6.89 10.57 10.83 7.82 5.62

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter9: Systems Of Linear Equations
Section9.6: Wind And Water Current Problems
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9. For questions 9.1-9.5, refer to the following problem.
A fitness trainer developed a set of breathing exercises aimed to improve one's
speed. To test these new exercises, this trainer randomly selected 12 from his
regular clients and asked to run a total distance of 2 km. The next day, he
asked the same respondents to undergo his breathing exercises and run a
total distance of 2 km afterwards. He recorded the total time (in minutes) of
his 12 clients from both runs (data given in the table below). At 1% level of
significance, is there sufficient evidence to conclude that these new breathing
exercises enhance one's speed?
9.1. Which type of sampling was used?
Independent
Related
First Run
13.72
8.75
9.35
4.37
6.52
9.33
7.53
8.21
11.25
15.65
8.46
6.74
Second Run
8.69
6.21
9.01
4.52
4.27
7.21
4.92
6.89
10.57
10.83
7.82
5.62
Transcribed Image Text:9. For questions 9.1-9.5, refer to the following problem. A fitness trainer developed a set of breathing exercises aimed to improve one's speed. To test these new exercises, this trainer randomly selected 12 from his regular clients and asked to run a total distance of 2 km. The next day, he asked the same respondents to undergo his breathing exercises and run a total distance of 2 km afterwards. He recorded the total time (in minutes) of his 12 clients from both runs (data given in the table below). At 1% level of significance, is there sufficient evidence to conclude that these new breathing exercises enhance one's speed? 9.1. Which type of sampling was used? Independent Related First Run 13.72 8.75 9.35 4.37 6.52 9.33 7.53 8.21 11.25 15.65 8.46 6.74 Second Run 8.69 6.21 9.01 4.52 4.27 7.21 4.92 6.89 10.57 10.83 7.82 5.62
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