Football and Brain SizeA study examines a possible relationship of football playing and concussions on hippocampus volume, in μL, in the brain. The study included three groups: controls who had never played football (Control), football players with no history of concussions (FBNoConcuss), and football players with a history of concussions (FBConcuss). The data is available inFootballBrain, and the side-by-side boxplots shown below indicate that the conditions for using theF-distribution appear to be met.
b) Use technology to construct an ANOVA table. What is theF-statistic? What is thep-value?
Round your answer for theF-statistic to two decimal places, and your answer for thep-value to three decimal places.F-statistic = ?p-value = ?
Group
Hipp
LeftHipp
Years
Cogniton
Control
6175
2945
0
6220
3075
6360
3125
6465
3160
6540
3205
6780
3340
6980
3495
7075
3390
7120
3490
7320
3525
7445
3655
7560
3715
7615
3780
7720
3815
8225
3865
8510
4195
8670
4200
8710
4210
8725
4520
9370
4665
9645
4725
9710
4810
6435
3270
7305
3620
7385
3650
FBNoConcuss
2500
14
4
5155
2610
8
55
5500
2725
9
74
5515
2780
71
5820
2795
79
5835
2865
12
5965
2905
6030
2930
88
6075
2985
11
40
6130
2995
15
6345
3030
89
6405
3045
13
73
6515
3195
62
6665
3290
7
48
6690
3310
94
6700
3335
93
6755
3425
42
6935
3440
82
7020
96
7095
3510
87
7165
3590
7420
3685
3710
95
7585
92
7790
3940
86
FBConcuss
4490
2210
4525
2240
30
5020
2445
18
27
5265
2590
81
5370
2620
5415
2625
17
5505
2650
32
5520
2670
35
5590
2755
37
5610
2805
5680
2850
90
5695
2855
5710
10
5735
2890
57
2915
58
5765
2940
64
5810
5865
6035
3025
6190
6420
3155
6445
3200
6635
3255
7160
3640
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