Question

In: Statistics and Probability

1. Which subject had the highest rankings for relative peak power? Which subject had the lowest...

1. Which subject had the highest rankings for relative peak power? Which subject had the lowest ranking? Provide an explanation as to why these individuals were the highest and lowest ranking?

2. Which subject had the highest rankings for relative mean power? Which subject had the lowest ranking? Provide an explanation as to why these individuals were the highest and lowest ranking?

Name

Sex

Weight(kg)

Peak Power

(absolute)

Peak Power

(relative)

Mean Power (absolute)

Mean Power (relative)

Fatigue Index

Subject 1

F

61.325

518

8.5

342

5.6

10.2

Subject 2

M

88.451

789

8.9

607

6.9

8.9

Subject 3

M

77.1107

743

7.6

585

7.6

12.1

Subject 4

F

61.325

570

9.3

408

6.7

8.3

Subject 5

M

92.986

1255

13.5

894

9.6

30.6

Subject 6

F

66.678

611

9.2

348

5.2

16

Subject 7

F

72.575

761

10.5

536

7.4

13.3

Subject 8

F

68.04

701

10.3

530

7.8

13.4

Subject 9

F

61.235

798

8.4

458

4.8

17.4

Subject 10

F

88.451

895

10.1

489

5.5

21.9

Subject 11

F

58.967

602

10.2

363

6.2

11.3

Subject 12

F

56.245

521

9.3

408

7.3

9.6

Solutions

Expert Solution

1. For the rankings of relative peak power , we will see 5th column [ Peak Power (relative)]
Since , rankings will be arranged in decreasing order.
So , the rankings will be
13.5; 10.5; 10.3; 10.2; 10.1; 9.3; 9.3; 9.2; 8.9; 8.5; 8.4; 7.6
Thus highest ranking is 13.5 which is for Subject 5 ( given in coulmn 1)
And lowest ranking is 7.6 which is for Subject 3 ( given in column 1 )
Reason: These relative peak power is calculated by dividing absolute peak power with their respective weight( column 3)
The highest ranking subject(individual) has highest weight (92.986) as well as highest absolute peak power (1255) among all other subjects.
The lowest ranking subject (individual) has weight( 77.1107) and absolute peak power (743) which is very low in proportion to the highest ranking subject .
2. For the rankings of relative mean power , we will see 7th column [ Mean Power (relative)]
Since , rankings will be arranged in decreasing order.
So , the rankings will be
9.6; 7.8; 7.6; 7.4; 7.3; 6.9; 6.7; 6.2; 5.6; 5.5; 5.2; 4.8
Thus highest ranking is 9.6 which is for Subject 5 ( given in coulmn 1)
And lowest ranking is 4.8 which is for Subject 9 ( given in column 1 )
Same reasoning goes for this as well.


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