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 mcasurcments give thesc percentages for ten men and for ten women: Males Females Pre-program Post-program Pre-program Post-program % % 11.10 9.97 22.90 22.89 19.50 15.80 31.60 33.47 14.00 13.02 27.70 25.75 8.30 9.28 21.70 19.80 12.40 11.51 19.36 18.00 7.89 7.40 25.03 22.33 12.10 10.70 26.90 25.26 8.30 10.40 25.75 24.90 12.31 11.40 23.63 21.80 10.00 11.95 25.06 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. (c) 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 mcasurcments give thesc percentages for ten men and for ten women: Males Females Pre-program Post-program Pre-program Post-program % % 11.10 9.97 22.90 22.89 19.50 15.80 31.60 33.47 14.00 13.02 27.70 25.75 8.30 9.28 21.70 19.80 12.40 11.51 19.36 18.00 7.89 7.40 25.03 22.33 12.10 10.70 26.90 25.26 8.30 10.40 25.75 24.90 12.31 11.40 23.63 21.80 10.00 11.95 25.06 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. (c) 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 mcasurements give thesc percentages for ten
men and for ten women:
Males
Females
Pre-program Post-program Pre-program Post-program
%
%
%
%
11.10
9.97
22.90
22.89
19.50
15.80
31.60
33.47
14.00
13.02
27.70
25.75
8.30
9.28
21.70
19.80
12.40
11.51
19.36
18.00
7.89
7.40
25.03
22.33
12.10
10.70
26.90
25.26
8.30
10.40
25.75
24.90
12.31
11.40
23.63
21.80
10.00
11.95
25.06
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
femalcs.
(c) On the basis of these data, have these percentages
decreased?
(d) If possible, check whether each set of differences
comes from a normal distribution.
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