Question

To investigate whether or not people tend to marry spouses of similar ages or whether husbands tend to be older than their wives, a student gathered age data from a sample of 24 couples, taken from marriage

asked Mar 6, 2021 146k views

To investigate whether or not people tend to marry spouses of similar ages or whether husbands tend to be older than their wives, a student gathered age data from a sample of 24 couples, taken from marriage licenses filed in Cumberland County, PA, in June and July 1993.

Diff(H-W)
1
-4
-4
18
2
2
1
1
2
1
0
4
2
-5
7
6
7
2
4
1
-6
1
2
-7
1
16
3
13
2
-1
-1
10
-1
1
0
-4
1
8
-1
-7
1
4
5
3
9
-5
3
-7
2
1
2
-4
0
12
4
13
-1
3
5
3
-2
2
0
2
0
2
13
-1
1
1
2
-3
6
1
1
-5
2
7
-2
-7
-1
1
9
1
-2
-1
3
5
-5
8
1
1
0
2
-2
-7
1
5
7
15
1) Define, in words.
A. The total difference in husband and wife marriage ages in Cumberland County; μd.
B. Average age of men and average age of women; μm and μw.
C. The average difference in husband and wife marriage ages in Cumberland County; μd.
2) Select the appropriate null and alternative hypotheses in the context of the study.
A. Null: The average difference in marriage ages in Cumberland County is 0. Alt: The average difference in marriage ages is not 0.
B. Null: The average difference in marriage ages in Cumberland County is not 0. Alt: The average difference in marriage ages is 0.
C. Null: The average difference in marriage ages in Cumberland County is 0. Alt: The average difference in marriage ages is less than 0.
D. Null: The average difference in marriage ages in Cumberland County is 0. Alt: The average difference in marriage ages is greater than 0.
3) Select the appropriate null and alternative hypotheses in the context of the study depicted using symbols
A. Null: μd = 0, Alt: μd > 0
B. Null: μd = 0, Alt: μd ≠ 0
C. Null: μd > 0, Alt: μd = 0
D. Null: μd = 0, Alt: μd < 0
4) For the 24 couples, the husbands are, on average, 1.875 years older than their wives (SD = 4.812). Use these statistics and the Theory-Based Inference applet to conduct a test of significance and report the resulting p-value to four decimal places.
5) Based on the p-value, do you have strong evidence that, on average, husbands are older than their wives in Cumberland County?