greater than the average age for wives? (Statkey: Use Descriptive Statistics for Two Quantitative Variables) 2) Is the proportion of couples for which the husband is older greater than 50%? 3) For any significant results, construct and interpret an interval for the size of the effect. (Statkey: Use Confidence Interval for a Proportion) 4) Do you expect the correlation
A sample of marriage licenses in St Lawrence County in Upstate New York gives the
ages of husbands and wives at the time of marriage for 105 newly married couples.
The question of interest is whether or not husbands tend to be older than their wives.
Use Statkey and statistical inference to address this issue based on the questions
below. In all cases be sure to interpret your findings in the context of this problem,
stating to what population (if any) your findings apply.
1) When getting married, is the average age for husbands greater than the average
age for wives? (Statkey: Use
2) Is the proportion of couples for which the husband is older greater than 50%?
3) For any significant results, construct and interpret an interval for the size of the
effect. (Statkey: Use Confidence Interval for a Proportion)
4) Do you expect the
wives to be positive, negative, or near zero? Explain.
5) Using the data given, find the sample correlation and display the data in a
(Statkey: use Descriptive Statistics for Two Quantitative Variables)
6) Using Statkey construct and interpret a 95% confidence interval for the
correlation between the ages of husbands and wives when they get married.
(Statkey: use Confidence Interval for Slope/Correlation.)
7) Does the correlation between ages help address the question about whether
husbands tend to be older than their wives?
Husband | Wife |
53 | 50 |
38 | 34 |
46 | 44 |
30 | 36 |
31 | 23 |
26 | 31 |
29 | 25 |
48 | 51 |
65 | 46 |
29 | 26 |
28 | 23 |
29 | 32 |
25 | 22 |
22 | 21 |
21 | 24 |
43 | 50 |
24 | 27 |
38 | 33 |
33 | 26 |
35 | 29 |
40 | 29 |
27 | 25 |
27 | 24 |
49 | 38 |
48 | 39 |
27 | 27 |
26 | 24 |
40 | 34 |
35 | 37 |
21 | 26 |
32 | 39 |
30 | 28 |
60 | 52 |
36 | 40 |
25 | 23 |
66 | 55 |
52 | 34 |
41 | 40 |
43 | 40 |
53 | 44 |
25 | 22 |
30 | 33 |
22 | 19 |
33 | 34 |
53 | 40 |
34 | 29 |
75 | 67 |
23 | 21 |
39 | 30 |
22 | 21 |
27 | 24 |
27 | 25 |
27 | 27 |
29 | 29 |
24 | 27 |
32 | 24 |
19 | 18 |
34 | 26 |
39 | 38 |
60 | 52 |
30 | 27 |
27 | 24 |
25 | 22 |
49 | 39 |
31 | 30 |
22 | 22 |
25 | 23 |
29 | 32 |
26 | 25 |
49 | 52 |
63 | 45 |
27 | 27 |
29 | 31 |
22 | 21 |
41 | 41 |
28 | 20 |
20 | 18 |
24 | 22 |
29 | 33 |
45 | 45 |
38 | 34 |
50 | 43 |
23 | 22 |
48 | 41 |
40 | 38 |
34 | 30 |
37 | 30 |
35 | 30 |
27 | 26 |
34 | 28 |
48 | 39 |
25 | 24 |
21 | 20 |
26 | 23 |
24 | 27 |
24 | 22 |
21 | 22 |
29 | 31 |
31 | 25 |
29 | 28 |
20 | 18 |
67 | 68 |
29 | 27 |
49 | 51 |
45 | 40 |
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