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. You can assume that the 16 athletes who participated in this study are representative of the population of athletes. Athlete X-ray 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 5.00 13.00 9.25 12.00 17.25 29.50 5.50 6.00 8.00 11.50 9.25 11.00 12.00 14.00 17.00 18.00 Ultrasound 4.50 9.75 9.00 11.75 17.00 27.50 6.50 6.75 8.75 12.50 9.50 12.00 12.25 15.50 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 μ = x-ray ultrasound Round your answers to three decimal places.) Interpret the interval in context. O We are 95% confident that the true mean body fat percentage measurement for ultrasounds is between these two values. O 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. O 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. O We are 95% confident that the true mean body fat percentage measurement for X-rays is between these two values. O We are 95% confident that the true difference in mean body fat percentage measurement for the two methods is between these two values.
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. You can assume that the 16 athletes who participated in this study are representative of the population of athletes. Athlete X-ray 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 5.00 13.00 9.25 12.00 17.25 29.50 5.50 6.00 8.00 11.50 9.25 11.00 12.00 14.00 17.00 18.00 Ultrasound 4.50 9.75 9.00 11.75 17.00 27.50 6.50 6.75 8.75 12.50 9.50 12.00 12.25 15.50 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 μ = x-ray ultrasound Round your answers to three decimal places.) Interpret the interval in context. O We are 95% confident that the true mean body fat percentage measurement for ultrasounds is between these two values. O 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. O 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. O We are 95% confident that the true mean body fat percentage measurement for X-rays is between these two values. O We are 95% confident that the true difference in mean body fat percentage measurement for the two methods is between these two values.
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. 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. You can assume that the 16 athletes who participated in this
study are representative of the population of athletes.
Athlete X-ray
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
5.00
13.00
9.25
12.00
17.25
29.50
5.50
6.00
8.00
11.50
9.25
11.00
12.00
14.00
17.00
18.00
Ultrasound
4.50
9.75
9.00
11.75
17.00
27.50
6.50
6.75
8.75
12.50
9.50
12.00
12.25
15.50
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 μ = x-ray ultrasound. Round your answers to three decimal places.)
1%
-
Interpret the interval in context.
O We are 95% confident that the true mean body fat percentage measurement for ultrasounds is between these two values.
O 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.
O 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.
O We are 95% confident that the true mean body fat percentage measurement for X-rays is between these two values.
O We are 95% confident that the true difference in mean body fat percentage measurement for the two methods is between these two values.
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