7.2-9. Students in a semester-long health-fitness program have their percentage of body fat measured at the begin- ning of the semester and at the end of the semester. The following measurements give these percentages for ten men and for ten women: Males Pre-program Post-program % 11.10 19.50 14.00 8.30 12.40 7.89 12.10 8.30 12.31 10.00 9.97 15.80 13.02 9.28 11.51 7.40 10.70 10.40 11.40 11.95 Pre-program Post-program % 22.90 31.60 2770 21.70 19.36 Females 25.03 26.90 25.75 23.63 25.06 22.89 33.47 25.75 19.80 18.00 22.33 25.26 24.90 21.80 24.28 (a) Find an approximate 90% confidence interval for the mean of the difference in the percentages for the males. (b) Find an approximate 90% confidence interval for the mean of the difference in the percentages for the females. (e) On the basis of these data, have these percentages decreased? (d) If possible, check whether each set of differences comes from a normal distribution.
7.2-9. Students in a semester-long health-fitness program have their percentage of body fat measured at the begin- ning of the semester and at the end of the semester. The following measurements give these percentages for ten men and for ten women: Males Pre-program Post-program % 11.10 19.50 14.00 8.30 12.40 7.89 12.10 8.30 12.31 10.00 9.97 15.80 13.02 9.28 11.51 7.40 10.70 10.40 11.40 11.95 Pre-program Post-program % 22.90 31.60 2770 21.70 19.36 Females 25.03 26.90 25.75 23.63 25.06 22.89 33.47 25.75 19.80 18.00 22.33 25.26 24.90 21.80 24.28 (a) Find an approximate 90% confidence interval for the mean of the difference in the percentages for the males. (b) Find an approximate 90% confidence interval for the mean of the difference in the percentages for the females. (e) On the basis of these data, have these percentages decreased? (d) If possible, check whether each set of differences comes from a normal distribution.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Transcribed Image Text:7.2-9. Students in a semester-long health-fitness program
have their percentage of body fat measured at the begin-
ning of the semester and at the end of the semester. The
following measurements give these percentages for ten
men and for ten women:
Males
Pre-program Post-program
%
11.10
19.50
14.00
8.30
12.40
7.89
12.10
8.30
12.31
10.00
9.97
15.80
13.02
9.28
11.51
7.40
10.70
10.40
11.40
11.95
Pre-program Post-program
%
22.90
31.60
2770
21.70
19.36
Females
25.03
26.90
25.75
23.63
25.06
22.89
33.47
25.75
19.80
18.00
22.33
25.26
24.90
21.80
24.28
(a) Find an approximate 90% confidence interval for the
mean of the difference in the percentages for the
males.
(b) Find an approximate 90% confidence interval for the
mean of the difference in the percentages for the
females.
(e) On the basis of these data, have these percentages
decreased?
(d) If possible, check whether each set of differences
comes from a normal distribution.
![7.2-9 (a) [-0.556, 1.450]:
(b) [0.367, 1.863]:
(c) No for men, yes for women.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2b62c17d-5c05-48d6-ac2b-a3a7c31907f7%2Ffde4f246-2a2f-4eb2-a7cf-293f8b55db69%2Fjgooa8_processed.png&w=3840&q=75)
Transcribed Image Text:7.2-9 (a) [-0.556, 1.450]:
(b) [0.367, 1.863]:
(c) No for men, yes for women.
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