You are currently doing research on the effects of school and work on stress. As
ID: 3317890 • Letter: Y
Question
You are currently doing research on the effects of school and work on stress. As such, you have divided young adults into those who both work and attend college, those who only attend college, and those who only work. You think that these three groups of young adults all experience different levels of stress. So you collect information on the level of stress (on a scale of 1 (least stress) to 20 (most stress)) experienced by 15 young adults (5 individual in each of the three categories). The stress scores for these adults are as follows:
Work and School
School Only
Work Only
15.0
10.8
8.6
19.2
13.6
10.4
8.4
6.2
6.4
12.8
7.4
5.6
10.2
9.8
6.6
Perform the appropriate hypothesis test, at alpha = .05, to determine whether there is a relationship between school/work with stress. Be sure that you include all of the steps discussed in class (including stating your research and null hypotheses) and show any calculations you perform. Do you reject or fail to reject the null hypothesis? What does this decision mean? (i.e. following your decision, state your conclusions in a complete sentence)?
(NOTE: The SSbetween is 79.32 and the SSwithin is 120.53).
Work and School
School Only
Work Only
15.0
10.8
8.6
19.2
13.6
10.4
8.4
6.2
6.4
12.8
7.4
5.6
10.2
9.8
6.6
Explanation / Answer
One-way ANOVA: Work and School, School Only, Work Only
Source DF SS MS F P
Factor 2 80.3 40.2 4.00 0.047
Error 12 120.5 10.0
Total 14 200.9
S = 3.169 R-Sq = 39.99% R-Sq(adj) = 29.99%
Individual 95% CIs For Mean Based on
Pooled StDev
Level N Mean StDev -----+---------+---------+---------+----
Work and School 5 13.120 4.225 (----------*---------)
School Only 5 9.560 2.910 (---------*---------)
Work Only 5 7.520 1.952 (---------*---------)
-----+---------+---------+---------+----
6.0 9.0 12.0 15.0
Pooled StDev = 3.169
P-Value 0.047 < 0.05 so we reject the null hypothesis. we conclude that here is a no relationship between school/work with stress.
Hope this will be helpful. Thanks and God Bless you :-)
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