The authors of a paper compared two different methods for measuring body fat percentage. One method uses ultrasound, and the other method uses X-ray technology. The table gives body fat percentages for 16 athletes using each of these methods (a subset of the data given in a graph that appeared in the paper). For purposes of this exercise, you can assume that the 16 athletes who participated in this study are representative of the population of athletes. Athlete ○ Hoi Hd=0 H₂: Hg <0 Ⓒ Mo: Hg=0 Hoi Ha0 H₂: Hg=0 1 2 ⒸHg! Hg <0 H₂H₂-0 3 4 5 6 7 8 9 P-value 0.000 LUSE SALT X-ray 4.75 10 6.00 8.00 8.50 11 9.25 12 11.00 13 12.00 14 14.00 15 17.00 16 18.00 7.00 9.25 12.00 17.25 29.50 5.50 Do these data provide convincing evidence that the mean body fat percentage measurement differs for the two methods? Test the appropriate hypotheses using a 0.05. (Use #dx-ray-ultrasound) State the appropriate null and alternative hypotheses. Ô mai hy vọ Ultrasound 4.75 4.00 x 9.00 11.75 17.00 27.75 6.50 6.75 8.75 9.75 9.50 12.00 12.25 15.75 18.00 18.50 Find the test statistic and P-value. (Use a table or SALT. Round your test statistic to one decimal place and your P-value to three decimal places.) to

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
The authors of a paper compared two different methods for measuring body fat percentage. One method uses ultrasound, and the other method uses X-ray technology. The table gives body fat percentages for 16 athletes using each of these methods (a subset of the data given in a graph that appeared in the paper). For
purposes of this exercise, you can assume that the 16 athletes who participated in this study are representative of the population of athletes.
Athlete
0
Ho: Md =
Ha: Md < 0
= 0
Ho: Md
Ha: Md 0
Ho: Md 0
H₂: Md
= 0
Ho: Md <
Ha: Md = 0
1
2
3
4
0.05. (Used =
Do these data provide convincing evidence that the mean body fat percentage measurement differs for the two methods? Test the appropriate hypotheses using a =
State the appropriate null and alternative hypotheses.
= 0
Ho: Md
Ha: Md > 0
< 0
5
6
7
8
9
10
11
12
13
14
15
16
X-ray
4.75
7.00
9.25
12.00
17.25
29.50
5.50
6.00
8.00
8.50
9.25
11.00
12.00
14.00
17.00
18.00
USE SALT
Ultrasound
4.75
4.00
9.00
11.75
17.00
27.75
6.50
6.75
8.75
9.75
9.50
12.00
12.25
15.75
18.00
18.50
X
Find the test statistic and P-value. (Use a table or SALT. Round your test statistic to one decimal place and your P-value to three decimal places.)
t =
P-value = 0.000
Mx-ray ultrasound.)
Transcribed Image Text:The authors of a paper compared two different methods for measuring body fat percentage. One method uses ultrasound, and the other method uses X-ray technology. The table gives body fat percentages for 16 athletes using each of these methods (a subset of the data given in a graph that appeared in the paper). For purposes of this exercise, you can assume that the 16 athletes who participated in this study are representative of the population of athletes. Athlete 0 Ho: Md = Ha: Md < 0 = 0 Ho: Md Ha: Md 0 Ho: Md 0 H₂: Md = 0 Ho: Md < Ha: Md = 0 1 2 3 4 0.05. (Used = Do these data provide convincing evidence that the mean body fat percentage measurement differs for the two methods? Test the appropriate hypotheses using a = State the appropriate null and alternative hypotheses. = 0 Ho: Md Ha: Md > 0 < 0 5 6 7 8 9 10 11 12 13 14 15 16 X-ray 4.75 7.00 9.25 12.00 17.25 29.50 5.50 6.00 8.00 8.50 9.25 11.00 12.00 14.00 17.00 18.00 USE SALT Ultrasound 4.75 4.00 9.00 11.75 17.00 27.75 6.50 6.75 8.75 9.75 9.50 12.00 12.25 15.75 18.00 18.50 X Find the test statistic and P-value. (Use a table or SALT. Round your test statistic to one decimal place and your P-value to three decimal places.) t = P-value = 0.000 Mx-ray ultrasound.)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 8 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman