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

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question

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 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 between the ages at marriage of husbands and
wives to be positive, negative, or near zero? Explain.
5) Using the data given, find the sample correlation and display the data in a
scatterplot. Describe what you observe about the data in the scatterplot.
(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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