Question

The relationship between exercise and positive mood is of great interest to many researchers concerned about physical and mental health outcomes (Chan et al., 2019; Smith & Merwin, 2021). As an example of research in this area, suppose we hypothesize that anaerobic exercise enhances mood. We identify a sample of patrons at a local gym, then randomly assign the patrons to complete an anaerobic exercise that is either low intensity or moderate intensity, or to a control condition in which they do not exercise (they instead watch a mundane exercise video). We then record their change in positive affect (mood) on a bipolar scale from -3 (much worse mood) to +3 (much improved mood) with 0 being no change in mood. Scores for each group are given in the table below. We will conduct an analysis of variance to analyze these data at a .05 level of significance. Write the hypothesis and complete the F table. Groups K=3 Low Moderate Control 0 2 -2 2 3 2 1 1 -1 2 2 1 0 0 2 1 0 1 0 3 -1 1 2 n?=10 n?=10 n?=10 N=k x n = 30 ? X? = 10 ? X? = 19 ? X? = 0 ? X? = 29 ? x²? = 20 ? x²? = 45 ? x²? = 20 ?x²? = 85 M? = 1 M? = 1.9 M?=0 SS? = SS? = SS? = Between Groups Within Groups (error) Total SS DF MS Fobt

          The relationship between exercise and positive mood is of great interest to many researchers
concerned about physical and mental health outcomes (Chan et al., 2019; Smith & Merwin,
2021). As an example of research in this area, suppose we hypothesize that anaerobic
exercise enhances mood. We identify a sample of patrons at a local gym, then randomly
assign the patrons to complete an anaerobic exercise that is either low intensity or moderate
intensity, or to a control condition in which they do not exercise (they instead watch a
mundane exercise video). We then record their change in positive affect (mood) on a bipolar
scale from -3 (much worse mood) to +3 (much improved mood) with 0 being no change in
mood. Scores for each group are given in the table below. We will conduct an analysis of
variance to analyze these data at a .05 level of significance. Write the hypothesis and
complete the F table.
Groups
K=3
Low
Moderate
Control
0
2
-2
2
3
2
1
1
-1
2
2
1
0
0
2
1
0
1
0
3
-1
1
2
n?=10
n?=10
n?=10
N=k x n = 30
? X? = 10
? X? = 19
? X? = 0
? X? = 29
? x²? = 20
? x²? = 45
? x²? = 20
?x²? = 85
M? = 1
M? = 1.9
M?=0
SS? =
SS? =
SS? =
Between Groups
Within Groups (error)
Total
SS
DF
MS
Fobt

The relationship between exercise and positive mood is of great interest to many researchers
concerned about physical and mental health outcomes (Chan et al., 2019; Smith Merwin,
2021). As an example of research in this area, suppose we hypothesize that anaerobic
exercise enhances mood. We identify a sample of patrons at a local gym, then randomly
assign the patrons to complete an anaerobic exercise that is either low intensity or moderate
intensity, or to a control condition in which they do not exercise (they instead watch a
mundane exercise video). We then record their change in positive affect (mood) on a bipolar
scale from -3 (much worse mood) to +3 (much improved mood) with 0 being no change in
mood. Scores for each group are given in the table below. We will conduct an analysis of
variance to analyze these data at a .05 level of significance. Write the hypothesis and
complete the F table.
Groups
K=3
Low
Moderate
Control
0
2
-2
2
3
2
1
1
-1
2
2
1
0
0
2
1
0
1
0
3
-1
1
2
n?=10
n?=10
n?=10
N=k x n = 30
? X? = 10
? X? = 19
? X? = 0
? X? = 29
? x²? = 20
? x²? = 45
? x²? = 20
?x²? = 85
M? = 1
M? = 1.9
M?=0
SS? =
SS? =
SS? =
Between Groups
Within Groups (error)
Total
SS
DF
MS
Fobt

Added by Amber H.

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