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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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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