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 X-ray 1 4.75 2 7.00 3 9.25 4 12.00 5 17.25 6 29.50 7 5.50 8 6.00 9 8.00 8.50 9.25 11.00 12.00 LUSE SALT Hoi Ha=0 H₂: Hg 0 10 Ho! HO H₂Hg <0 Hoi Ha =0 H₂H0 Hoi Ha0 11 12 13 14 14.00 15 17.00 16 18.00 Ho: H0 H₂i Hg=0 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 Hd x-ray-Hultrasound) State the appropriate null and alternative hypotheses. 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 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 0.534 x P-value 0.000 X State the conclusion in the problem context.
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 X-ray 1 4.75 2 7.00 3 9.25 4 12.00 5 17.25 6 29.50 7 5.50 8 6.00 9 8.00 8.50 9.25 11.00 12.00 LUSE SALT Hoi Ha=0 H₂: Hg 0 10 Ho! HO H₂Hg <0 Hoi Ha =0 H₂H0 Hoi Ha0 11 12 13 14 14.00 15 17.00 16 18.00 Ho: H0 H₂i Hg=0 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 Hd x-ray-Hultrasound) State the appropriate null and alternative hypotheses. 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 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 0.534 x P-value 0.000 X State the conclusion in the problem context.
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: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
Ho: Md = 0
Ha: Ha< 0
Ho: M₁ = 0
Ha: Md 0
Ho: Md 0
Ha: Md
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.
Ho: Md = 0
Ha: Md > 0
= 0
Ho: Md < 0
Ha: Md
P-value =
X-ray
4.75
7.00
9.25
12.00
5
17.25
6
29.50
7
5.50
8
6.00
9
8.00
10
8.50
11
9.25
12
11.00
13 12.00
14
14.00
15
17.00
16 18.00
= 0
1
2
3
4
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
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 = 0.534
0.000
X
X
State the conclusion in the problem context.
We fail to reiect H. The data provide convincing evidence that the mean body fat percentage measurement differs for the two methods
0.05. (Use μ = Mx-ray - Multrasound)
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