A random sample of 18 Fairfax couples were assessed on a scale that measures rel
ID: 3360523 • Letter: A
Question
A random sample of 18 Fairfax couples were assessed on a scale that measures relationship happiness. The couples were classified by relationship type as follows: traditional (only the husband works outside the home), dual-career (both members work), and cohabiting (members living together without being legally married regardless of work patterns). Conduct a 5 step hypothesis test (ANOVA) to determine if relationship happiness varies significantly by type of relationship.
Happiness
Traditional
Dual-Career
Cohabiting
10
12
12
14
12
14
20
12
15
22
14
17
23
15
18
24
20
22
Group means: 18.83 / 14.17 / 16.33
Grand Mean: 16.44
Sum of squares: 2285/ 1253 / 1662
SST = 335.14
SSB = 65.26
SSW = 269.72
MSB = 32.63
MSW = 17.94
F- Ratio = 1.81
Alpha . 05
Df = 2, 15
F critica = 3.68
Fail to Reject (happiness does not vary)
Please show your work!!
Happiness
Traditional
Dual-Career
Cohabiting
10
12
12
14
12
14
20
12
15
22
14
17
23
15
18
24
20
22
Explanation / Answer
H0: There is no difference between means of three groups
H1: There is a difference between means of three groups
alpha:5%
Test statistic:
Using Excel
F cal=1.8333
P value=0.1932
Conclusion:
P >alpha, we do not reject the H0.
Hence claim is not significant
Anova: Single Factor SUMMARY Groups Count Sum Average Variance Traditional 6 113 18.83333 31.36667 Dual-Career 6 85 14.16667 9.766667 Cohabiting 6 98 16.33333 12.26667 ANOVA Source of Variation SS df MS F P-value F crit Between Groups 65.44444 2 32.72222 1.838327 0.193171 3.68232 Within Groups 267 15 17.8 Total 332.4444 17Related Questions
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