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. Body fat percentages using each of these methods for 16 athletes (a subset of the data given in a graph that appeared in the paper) are given in the accompanying table. For purposes of this exercise, you can assume that the 16 athletes who participated in this study are representative of the population of athletes. X-ray Ultrasound Athlete 1 5.00 4.50 2 16.00 12.75 3 9.25 9.00 4 12.00 11.75 5 17.25 17.00 6 29.50 27.50 7 5.50 6.50 8 6.00 6.75 9 8.00 8.75 10 17.50 18.50 11 9.25 9.50 12 11.00 12.00 13 12.00 12.25 14 14.00 15.50 15 17.00 18.00 16 18.00 18.25 Use these data to estimate the difference in mean body fat percentage measurement for the two methods. Use a confidence level of 95%. (Use μd = Mx-ray - Multrasound answers to three decimal places.) to % Interpret the interval in context. ○ We are 95% confident that the true difference in mean body fat percentage measurement for the two methods is between these two values. There is a 95% chance that the true mean body fat percentage measurement for X-rays is directly in the middle of these two values. There is a 95% chance that the true difference in mean body fat percentage measurement for the two methods is directly in the middle of these two values. We are 95% confident that the true mean body fat percentage measurement for ultrasounds is between these two values. We are 95% confident that the true mean body fat percentage measurement for X-rays is between these two values. Round your
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. Body fat percentages using each of these methods for 16 athletes (a subset of the data given in a graph that appeared in the paper) are given in the accompanying table. For purposes of this exercise, you can assume that the 16 athletes who participated in this study are representative of the population of athletes. X-ray Ultrasound Athlete 1 5.00 4.50 2 16.00 12.75 3 9.25 9.00 4 12.00 11.75 5 17.25 17.00 6 29.50 27.50 7 5.50 6.50 8 6.00 6.75 9 8.00 8.75 10 17.50 18.50 11 9.25 9.50 12 11.00 12.00 13 12.00 12.25 14 14.00 15.50 15 17.00 18.00 16 18.00 18.25 Use these data to estimate the difference in mean body fat percentage measurement for the two methods. Use a confidence level of 95%. (Use μd = Mx-ray - Multrasound answers to three decimal places.) to % Interpret the interval in context. ○ We are 95% confident that the true difference in mean body fat percentage measurement for the two methods is between these two values. There is a 95% chance that the true mean body fat percentage measurement for X-rays is directly in the middle of these two values. There is a 95% chance that the true difference in mean body fat percentage measurement for the two methods is directly in the middle of these two values. We are 95% confident that the true mean body fat percentage measurement for ultrasounds is between these two values. We are 95% confident that the true mean body fat percentage measurement for X-rays is between these two values. Round your
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 2AGP
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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. Body fat
percentages using each of these methods for 16 athletes (a subset of the data given in a graph that appeared in the paper) are given in the accompanying table. For purposes of this
exercise, you can assume that the 16 athletes who participated in this study are representative of the population of athletes.
X-ray
Ultrasound
Athlete
1
5.00
4.50
2
16.00
12.75
3
9.25
9.00
4
12.00
11.75
5
17.25
17.00
6
29.50
27.50
7
5.50
6.50
8
6.00
6.75
9
8.00
8.75
10
17.50
18.50
11
9.25
9.50
12
11.00
12.00
13
12.00
12.25
14
14.00
15.50
15
17.00
18.00
16
18.00
18.25
Use these data to estimate the difference in mean body fat percentage measurement for the two methods. Use a confidence level of 95%. (Use μd = Mx-ray - Multrasound
answers to three decimal places.)
to
%
Interpret the interval in context.
○ We are 95% confident that the true difference in mean body fat percentage measurement for the two methods is between these two values.
There is a 95% chance that the true mean body fat percentage measurement for X-rays is directly in the middle of these two values.
There is a 95% chance that the true difference in mean body fat percentage measurement for the two methods is directly in the middle of these two values.
We are 95% confident that the true mean body fat percentage measurement for ultrasounds is between these two values.
We are 95% confident that the true mean body fat percentage measurement for X-rays is between these two values.
Round your
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