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 Ultrasound 1 5.00 2 3 4 5 6 。 7 co 8 9 10 11 12 13 14 ! 15 16 13.00 9.25 12.00 17.25 29.50 5.50 6.00 8.00 14.50 9.25 11.00 12.00 14.00 17.00 18.00 4.50 9.75 9.00 11.75 17.00 27.50 6.50 6.75 8.75 15.50 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 confidence level of 95%. (Use #d= x-ray ultrasound Round your answers to three decimal places.) % Interpret the interval in context. 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 We are 95% confident that the true mean body fat percentage measurement for ultrasounds 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. O We are 95% confident that the true mean body fat percentage measurement for X-rays is between 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.
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 Ultrasound 1 5.00 2 3 4 5 6 。 7 co 8 9 10 11 12 13 14 ! 15 16 13.00 9.25 12.00 17.25 29.50 5.50 6.00 8.00 14.50 9.25 11.00 12.00 14.00 17.00 18.00 4.50 9.75 9.00 11.75 17.00 27.50 6.50 6.75 8.75 15.50 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 confidence level of 95%. (Use #d= x-ray ultrasound Round your answers to three decimal places.) % Interpret the interval in context. 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 We are 95% confident that the true mean body fat percentage measurement for ultrasounds 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. O We are 95% confident that the true mean body fat percentage measurement for X-rays is between 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.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
Related questions
Question
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
14.50
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
15.50
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 = Mx-ray - Multrasound. Round your answers to three decimal places.)
Interpret the interval in context.
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 We are 95% confident that the true mean body fat percentage measurement for ultrasounds 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.
O We are 95% confident that the true mean body fat percentage measurement for X-rays is between 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.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 5 steps
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL