A 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 in FootballBrain, and the side-by-side boxplots shown below indicate that the conditions for using the F-distribution appear to be met. b) Use technology to construct an ANOVA table. What is the F-statistic? What is the p-value? Round your answer for the F-statistic to two decimal places, and your answer for the p-value to three decimal places. F-statistic = ? p-value = ? Group Hipp LeftHipp Years Cogniton Control 6175 2945 0 Control 6220 3075 0 Control 6360 3125 0 Control 6465 3160 0 Control 6540 3205 0 Control 6780 3340 0 Control 6980 3495 0 Control 7075 3390 0 Control 7120 3490 0 Control 7320 3525 0 Control 7445 3655 0 Control 7560 3715 0 Control 7615 3780 0 Control 7720 3815 0 Control 8225 3865 0 Control 8510 4195 0 Control 8670 4200 0 Control 8710 4210 0 Control 8725 4520 0 Control 9370 4665 0 Control 9645 4725 0 Control 9710 4810 0 Control 6435 3270 0 Control 7305 3620 0 Control 7385 3650 0 FBNoConcuss 4810 2500 14 4 FBNoConcuss 5155 2610 8 55 FBNoConcuss 5500 2725 9 74 FBNoConcuss 5515 2780 14 71 FBNoConcuss 5820 2795 9 79 FBNoConcuss 5835 2865 12 8 FBNoConcuss 5965 2905 9 FBNoConcuss 6030 2930 9 88 FBNoConcuss 6075 2985 11 40 FBNoConcuss 6130 2995 15 FBNoConcuss 6345 3030 8 89 FBNoConcuss 6405 3045 13 73 FBNoConcuss 6515 3195 11 62 FBNoConcuss 6665 3290 7 48 FBNoConcuss 6690 3310 14 94 FBNoConcuss 6700 3335 8 93 FBNoConcuss 6755 3425 12 42 FBNoConcuss 6935 3440 9 82 FBNoConcuss 7020 3495 8 96 FBNoConcuss 7095 3510 7 87 FBNoConcuss 7165 3590 7 88 FBNoConcuss 7420 3685 8 FBNoConcuss 7560 3710 8 95 FBNoConcuss 7585 3815 7 92 FBNoConcuss 7790 3940 12 86 FBConcuss 4490 2210 13 12 FBConcuss 4525 2240 14 30 FBConcuss 5020 2445 18 27 FBConcuss 5265 2590 11 81 FBConcuss 5370 2620 7 42 FBConcuss 5415 2625 17 73 FBConcuss 5505 2650 15 32 FBConcuss 5520 2670 14 35 FBConcuss 5590 2755 14 37 FBConcuss 5610 2805 13 55 FBConcuss 5680 2850 11 90 FBConcuss 5695 2855 15 48 FBConcuss 5710 2865 10 12 FBConcuss 5735 2890 13 57 FBConcuss 5735 2915 15 58 FBConcuss 5765 2940 14 64 FBConcuss 5810 2945 15 FBConcuss 5865 2985 13 81 FBConcuss 6035 3025 13 90 FBConcuss 6175 3030 10 81 FBConcuss 6190 3045 14 71 FBConcuss 6420 3155 13 FBConcuss 6445 3200 15 88 FBConcuss 6635 3255 9 FBConcuss 7160 3640 12 95
Football and Brain Size
A 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 in FootballBrain, and the side-by-side boxplots shown below indicate that the conditions for using the F-distribution appear to be met.
b) Use technology to construct an ANOVA table. What is the F-statistic? What is the p-value?
Round your answer for the F-statistic to two decimal places, and your answer for the p-value to three decimal places.
F-statistic = ?
p-value = ?
Group |
Hipp |
LeftHipp |
Years |
Cogniton |
Control |
6175 |
2945 |
0 |
|
Control |
6220 |
3075 |
0 |
|
Control |
6360 |
3125 |
0 |
|
Control |
6465 |
3160 |
0 |
|
Control |
6540 |
3205 |
0 |
|
Control |
6780 |
3340 |
0 |
|
Control |
6980 |
3495 |
0 |
|
Control |
7075 |
3390 |
0 |
|
Control |
7120 |
3490 |
0 |
|
Control |
7320 |
3525 |
0 |
|
Control |
7445 |
3655 |
0 |
|
Control |
7560 |
3715 |
0 |
|
Control |
7615 |
3780 |
0 |
|
Control |
7720 |
3815 |
0 |
|
Control |
8225 |
3865 |
0 |
|
Control |
8510 |
4195 |
0 |
|
Control |
8670 |
4200 |
0 |
|
Control |
8710 |
4210 |
0 |
|
Control |
8725 |
4520 |
0 |
|
Control |
9370 |
4665 |
0 |
|
Control |
9645 |
4725 |
0 |
|
Control |
9710 |
4810 |
0 |
|
Control |
6435 |
3270 |
0 |
|
Control |
7305 |
3620 |
0 |
|
Control |
7385 |
3650 |
0 |
|
FBNoConcuss |
4810 |
2500 |
14 |
4 |
FBNoConcuss |
5155 |
2610 |
8 |
55 |
FBNoConcuss |
5500 |
2725 |
9 |
74 |
FBNoConcuss |
5515 |
2780 |
14 |
71 |
FBNoConcuss |
5820 |
2795 |
9 |
79 |
FBNoConcuss |
5835 |
2865 |
12 |
8 |
FBNoConcuss |
5965 |
2905 |
9 |
|
FBNoConcuss |
6030 |
2930 |
9 |
88 |
FBNoConcuss |
6075 |
2985 |
11 |
40 |
FBNoConcuss |
6130 |
2995 |
15 |
|
FBNoConcuss |
6345 |
3030 |
8 |
89 |
FBNoConcuss |
6405 |
3045 |
13 |
73 |
FBNoConcuss |
6515 |
3195 |
11 |
62 |
FBNoConcuss |
6665 |
3290 |
7 |
48 |
FBNoConcuss |
6690 |
3310 |
14 |
94 |
FBNoConcuss |
6700 |
3335 |
8 |
93 |
FBNoConcuss |
6755 |
3425 |
12 |
42 |
FBNoConcuss |
6935 |
3440 |
9 |
82 |
FBNoConcuss |
7020 |
3495 |
8 |
96 |
FBNoConcuss |
7095 |
3510 |
7 |
87 |
FBNoConcuss |
7165 |
3590 |
7 |
88 |
FBNoConcuss |
7420 |
3685 |
8 |
|
FBNoConcuss |
7560 |
3710 |
8 |
95 |
FBNoConcuss |
7585 |
3815 |
7 |
92 |
FBNoConcuss |
7790 |
3940 |
12 |
86 |
FBConcuss |
4490 |
2210 |
13 |
12 |
FBConcuss |
4525 |
2240 |
14 |
30 |
FBConcuss |
5020 |
2445 |
18 |
27 |
FBConcuss |
5265 |
2590 |
11 |
81 |
FBConcuss |
5370 |
2620 |
7 |
42 |
FBConcuss |
5415 |
2625 |
17 |
73 |
FBConcuss |
5505 |
2650 |
15 |
32 |
FBConcuss |
5520 |
2670 |
14 |
35 |
FBConcuss |
5590 |
2755 |
14 |
37 |
FBConcuss |
5610 |
2805 |
13 |
55 |
FBConcuss |
5680 |
2850 |
11 |
90 |
FBConcuss |
5695 |
2855 |
15 |
48 |
FBConcuss |
5710 |
2865 |
10 |
12 |
FBConcuss |
5735 |
2890 |
13 |
57 |
FBConcuss |
5735 |
2915 |
15 |
58 |
FBConcuss |
5765 |
2940 |
14 |
64 |
FBConcuss |
5810 |
2945 |
15 |
|
FBConcuss |
5865 |
2985 |
13 |
81 |
FBConcuss |
6035 |
3025 |
13 |
90 |
FBConcuss |
6175 |
3030 |
10 |
81 |
FBConcuss |
6190 |
3045 |
14 |
71 |
FBConcuss |
6420 |
3155 |
13 |
|
FBConcuss |
6445 |
3200 |
15 |
88 |
FBConcuss |
6635 |
3255 |
9 |
|
FBConcuss |
7160 |
3640 |
12 |
95 |
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