Answered: greater than the average age for wives?…

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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Related questions

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