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
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Author:Carter
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Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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  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.
  2. 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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