Question

In: Statistics and Probability

Researchers want to know if there are significant differences in life satisfaction based on college students'...

Researchers want to know if there are significant differences in life satisfaction based on college students' overall financial status. In a Word document go thru the 5 steps for hypothesis testing and upload your answer here.

life satisfaction	financial status
35	3
34	2
31	3
31	3
28	3
28	3
28	2
21	2
29	3
30	2
30	3
29	3
29	3
15	2
30	2
30	2
29	3
20	3
29	2
35	3
22	2
31	2
30	3
30	3
20	3
20	2
27	2
33	3
21	2
27	3
17	2
29	2
24	2
24	2
32	2
22	3
27	1
29	2
30	1
27	2
29	2
26	2
35	3
29	2
29	2
30	2
30	2
17	1
21	2
28	3
27	3
29	2
31	3
29	3
28	3
30	3
26	3
31	2
18	2
19	1
23	2
24	3
23	2
24	3
30	3
30	2
18	3
22	1
29	2
23	2
29	3
24	3
13	2
25	2
23	3
25	1
28	3
30	3
16	2
32	3
17	2
35	3
28	3
29	2
29	2
29	2
29	3
29	3
30	2
28	2
23	2
23	1
27	3
28	2
8	2
27	3
32	2
26	3
29	3
26	2
33	3
33	2
28	3
26	1
35	2
30	1
29	2
30	2
31	2
30	2
35	2
16	3
29	2
19	1
27	2
20	3
29	2
21	2
22	1
18	1
23	3
22	3
26	2
27	3
23	2
26	3
21	3
20	2
24	2
28	3
25	1
25	3
27	3
27	3
30	2
24	2
26	2
27	2
25	2
31	3
31	3
29	1
22	1
25	2
32	2
25	2
29	2
21	3
12	1
35	2
27	3
25	3
28	2
19	1
24	1
23	3
18	2
28	2
18	1
30	2
20	3
25	2
15	3
26	3
26	1
23	1
17	1
29	2
17	2
20	3
29	2
33	2
15	2
11	2
18	2
27	3
22	2
26	2
23	2
35	3
12	2
30	3

financial status: 1=over extended, 2=making ends meet, 3=comfortable

Expert Solution

One-way ANOVA: life satisfaction versus financial status

Method

Null hypothesis All means are equal
Alternative hypothesis At least one mean is different
Significance level α = 0.05

Equal variances were assumed for the analysis.

Factor Information

Factor Levels Values
financial status 3 1, 2, 3

Analysis of Variance

Source             DF Adj SS Adj MS F-Value P-Value
financial status    2   368.4 184.18    6.91    0.001
Error             179 4771.9   26.66
Total             181 5140.3

Model Summary

S R-sq R-sq(adj) R-sq(pred)
5.16322 7.17% 6.13% 4.21%

Means

financial
status      N    Mean StDev       95% CI
1          22   22.41   4.70 ( 20.24, 24.58)
2          90 25.744 5.713 (24.670, 26.818)
3          70 27.086 4.510 (25.868, 28.303)

Pooled StDev = 5.16322

F = 6.91

p-value= 0.001 < 0.05

hence we reject the null hypothesis

we conclude that there is difference in life satisfaction between different financial status

orchestra answered 1 year ago

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