Treating the 2015 Tobacco rate data as a sample, construct a 95% confidence interval for the mean tobacco rate for males and for females. Interpret each interval. Does it appear that males use tobacco at a higher rate than females? Justify your answer, using the confidence intervals in your explanation. Construct the same confidence interval for males at the 99% confidence level. Compare to the male 95% confidence interval from the previous question. What happened to the interval when the confidence level increased? Explain why. Prevalence of smoking any tobacco product among persons aged >= 15 years Male 2015 Prevalence of smoking any tobacco product among persons aged >= 15 years Female 2015 51.2 7.6 37.2 27.8 29.5 18.4 52.3 1.5 16.7 13.1 35.5 34.8 46.5 0.4 48.8 7.6 39.8 0.7 13.1 0.9 46.2 10.6 26.5 20 17.7 1 30.5 17.1 47.2 30 19.3 11.3 29.3 3.1 42.4 28.2 36 4.5 22.2 3.5 44.1 2.8 43.8 0.9 17.7 12.2 40 36 47.6 1.8 16 6.2 23.1 6 43.2 1.7 18.5 8.3 39.4 33.5 52.7 17.8 37.4 29 17.6 16.4 18.8 9.4 14 3.3 49.9 0.3 41.2 24.9 8.9 0.5 38.7 12.4 23.2 18.5 29.8 25.6 57.7 5.7 32.4 28.3 13.1 0.4 52.6 32.7 22.1 2.5 33.3 2.1 32 24.8 17 15.1 20.4 1.9 76.2 3.6 21.5 0.7 22.4 21.9 41.2 19.3 28.3 19.7 29.9 5.9 33.7 10.6 70.2 10.7 43.9 9.3 24.6 2.1 63.9 40.9 50.4 3.6 56.6 9.1 48.9 24.3 45.4 31 55.1 0.4 27.6 2.4 38.1 22.2 25.8 21.4 25.4 6 43 1.4 36.8 3.2 29.7 20.2 44 3.7 40.1 3.3 20.8 6.6 47.7 5.3 45.4 1.4 31.4 5.9 31.6 6.4 38.9 11.4 43 52 37.1 11.1 26.2 23.9 18.6 0.2 17.4 1.1 20.3 11.4 22.4 22.1 21 1 41.9 3 10.6 2.6 28.3 7.9 5.9 43 8.5 32.4 23.7 31.5 13.7 49.8 4.2 45.7 5.4 36.9 22.7 59 22.8 5.5 41 18.9 27.9 2.9 23.4 0.7 43.6 39.7 43 8.8 60 12 28 5 39.7 17.6 22.3 18.1 31.4 6.5 31.3 27.1 28.4 0.4 19 2.2 20.4 20.8 26.9 19.7 41.4 2.3 47.3 13 39.5 12.4 16.4 2.9 49.4 14 19.9 18.4 27.5 3.8 19.5 15 26.7 19.4 24.9 1.3 47.1 1.3 26.5 4.6 31.2 2.1
Treating the 2015 Tobacco rate data as a sample, construct a 95% confidence interval for the mean tobacco rate for males and for females. Interpret each interval. Does it appear that males use tobacco at a higher rate than females? Justify your answer, using the confidence intervals in your explanation. Construct the same confidence interval for males at the 99% confidence level. Compare to the male 95% confidence interval from the previous question. What happened to the interval when the confidence level increased? Explain why. Prevalence of smoking any tobacco product among persons aged >= 15 years Male 2015 Prevalence of smoking any tobacco product among persons aged >= 15 years Female 2015 51.2 7.6 37.2 27.8 29.5 18.4 52.3 1.5 16.7 13.1 35.5 34.8 46.5 0.4 48.8 7.6 39.8 0.7 13.1 0.9 46.2 10.6 26.5 20 17.7 1 30.5 17.1 47.2 30 19.3 11.3 29.3 3.1 42.4 28.2 36 4.5 22.2 3.5 44.1 2.8 43.8 0.9 17.7 12.2 40 36 47.6 1.8 16 6.2 23.1 6 43.2 1.7 18.5 8.3 39.4 33.5 52.7 17.8 37.4 29 17.6 16.4 18.8 9.4 14 3.3 49.9 0.3 41.2 24.9 8.9 0.5 38.7 12.4 23.2 18.5 29.8 25.6 57.7 5.7 32.4 28.3 13.1 0.4 52.6 32.7 22.1 2.5 33.3 2.1 32 24.8 17 15.1 20.4 1.9 76.2 3.6 21.5 0.7 22.4 21.9 41.2 19.3 28.3 19.7 29.9 5.9 33.7 10.6 70.2 10.7 43.9 9.3 24.6 2.1 63.9 40.9 50.4 3.6 56.6 9.1 48.9 24.3 45.4 31 55.1 0.4 27.6 2.4 38.1 22.2 25.8 21.4 25.4 6 43 1.4 36.8 3.2 29.7 20.2 44 3.7 40.1 3.3 20.8 6.6 47.7 5.3 45.4 1.4 31.4 5.9 31.6 6.4 38.9 11.4 43 52 37.1 11.1 26.2 23.9 18.6 0.2 17.4 1.1 20.3 11.4 22.4 22.1 21 1 41.9 3 10.6 2.6 28.3 7.9 5.9 43 8.5 32.4 23.7 31.5 13.7 49.8 4.2 45.7 5.4 36.9 22.7 59 22.8 5.5 41 18.9 27.9 2.9 23.4 0.7 43.6 39.7 43 8.8 60 12 28 5 39.7 17.6 22.3 18.1 31.4 6.5 31.3 27.1 28.4 0.4 19 2.2 20.4 20.8 26.9 19.7 41.4 2.3 47.3 13 39.5 12.4 16.4 2.9 49.4 14 19.9 18.4 27.5 3.8 19.5 15 26.7 19.4 24.9 1.3 47.1 1.3 26.5 4.6 31.2 2.1
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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Question
- Treating the 2015 Tobacco rate data as a sample, construct a 95% confidence interval for the mean tobacco rate for males and for females. Interpret each interval. Does it appear that males use tobacco at a higher rate than females? Justify your answer, using the confidence intervals in your explanation.
- Construct the same confidence interval for males at the 99% confidence level. Compare to the male 95% confidence interval from the previous question. What happened to the interval when the confidence level increased? Explain why.
Prevalence of smoking any tobacco product among persons aged >= 15 years Male 2015 | Prevalence of smoking any tobacco product among persons aged >= 15 years Female 2015 |
51.2 | 7.6 |
37.2 | 27.8 |
29.5 | 18.4 |
52.3 | 1.5 |
16.7 | 13.1 |
35.5 | 34.8 |
46.5 | 0.4 |
48.8 | 7.6 |
39.8 | 0.7 |
13.1 | 0.9 |
46.2 | 10.6 |
26.5 | 20 |
17.7 | 1 |
30.5 | 17.1 |
47.2 | 30 |
19.3 | 11.3 |
29.3 | 3.1 |
42.4 | 28.2 |
36 | 4.5 |
22.2 | 3.5 |
44.1 | 2.8 |
43.8 | 0.9 |
17.7 | 12.2 |
40 | 36 |
47.6 | 1.8 |
16 | 6.2 |
23.1 | 6 |
43.2 | 1.7 |
18.5 | 8.3 |
39.4 | 33.5 |
52.7 | 17.8 |
37.4 | 29 |
17.6 | 16.4 |
18.8 | 9.4 |
14 | 3.3 |
49.9 | 0.3 |
41.2 | 24.9 |
8.9 | 0.5 |
38.7 | 12.4 |
23.2 | 18.5 |
29.8 | 25.6 |
57.7 | 5.7 |
32.4 | 28.3 |
13.1 | 0.4 |
52.6 | 32.7 |
22.1 | 2.5 |
33.3 | 2.1 |
32 | 24.8 |
17 | 15.1 |
20.4 | 1.9 |
76.2 | 3.6 |
21.5 | 0.7 |
22.4 | 21.9 |
41.2 | 19.3 |
28.3 | 19.7 |
29.9 | 5.9 |
33.7 | 10.6 |
70.2 | 10.7 |
43.9 | 9.3 |
24.6 | 2.1 |
63.9 | 40.9 |
50.4 | 3.6 |
56.6 | 9.1 |
48.9 | 24.3 |
45.4 | 31 |
55.1 | 0.4 |
27.6 | 2.4 |
38.1 | 22.2 |
25.8 | 21.4 |
25.4 | 6 |
43 | 1.4 |
36.8 | 3.2 |
29.7 | 20.2 |
44 | 3.7 |
40.1 | 3.3 |
20.8 | 6.6 |
47.7 | 5.3 |
45.4 | 1.4 |
31.4 | 5.9 |
31.6 | 6.4 |
38.9 | 11.4 |
43 | 52 |
37.1 | 11.1 |
26.2 | 23.9 |
18.6 | 0.2 |
17.4 | 1.1 |
20.3 | 11.4 |
22.4 | 22.1 |
21 | 1 |
41.9 | 3 |
10.6 | 2.6 |
28.3 | 7.9 |
5.9 | |
43 | 8.5 |
32.4 | 23.7 |
31.5 | 13.7 |
49.8 | 4.2 |
45.7 | 5.4 |
36.9 | 22.7 |
59 | 22.8 |
5.5 | |
41 | 18.9 |
27.9 | 2.9 |
23.4 | 0.7 |
43.6 | 39.7 |
43 | 8.8 |
60 | 12 |
28 | 5 |
39.7 | 17.6 |
22.3 | 18.1 |
31.4 | 6.5 |
31.3 | 27.1 |
28.4 | 0.4 |
19 | 2.2 |
20.4 | 20.8 |
26.9 | 19.7 |
41.4 | 2.3 |
47.3 | 13 |
39.5 | 12.4 |
16.4 | 2.9 |
49.4 | 14 |
19.9 | 18.4 |
27.5 | 3.8 |
19.5 | 15 |
26.7 | 19.4 |
24.9 | 1.3 |
47.1 | 1.3 |
26.5 | 4.6 |
31.2 | 2.1 |
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