Find the critical values of a two-tailed test with a = 0.05, degrees of freedom in the numerator = 12, and degrees of freedom in the denominator = 25. Click the icon to view the partial table of critical values of the F-distribution. Critical Values of the F-distribution What are the left- and right-hand critical values? Left-hand: Right-hand: (Round to the nearest hundredth place as needed.) F-Distribution Critical Values Degrees of Freedom in the Numerator Area in Right Tail 12 15 20 25 30 40 50 60 0.100 2.38 2.34 2.30 2.27 2.25 2.23 2.22

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Find the critical values of a two-tailed test with a = 0.05, degrees of freedom in the numerator = 12, and degrees of freedom in the denominator = 25.
Click the icon to view the partial table of critical values of the F-distribution.
Critical Values of the F-distribution
What are the left- and right-hand critical values?
Left-hand:
Right-hand:
(Round to the nearest hundredth place as needed.)
F-Distribution Critical Values
Degrees of Freedom in the Numerator
Area in
Right Tail
12
15
20
25
30
40
50
60
0.100
0.050
0.025
0.010
0.001
2.38
3.07
3.87
5.11
9.57
2.34
3.01
3.77
4.96
9.24
2.30
2.94
3.67
4.81
8.90
2.27
2.89
3.60
4.71
8,69
2.25
2.86
3.56
4.65
8.55
2.23
2.83
3.51
4.57
8.37
2.22
2.80
3.47
4.52
8.26
2.2
2.7
3.4
4.4
8.1
0.100
0.050
10
0.025
0.010
0.001
2.28
2.91
3.62
4.71
8.45
2.24
2.85
3.52
4.56
8.13
2.20
2.77
3.42
4.41
7.80
2.17
2.73
3.35
4.31
7.60
2.16
2.70
3.31
4.25
7.47
2.13
2.66
3.26
4.17
7.30
2.12
2.64
3.22
4.12
7.19
2.1
2.6
3.2
4.0
7.1
0.100
0.050
12
0.025
0.010
0.001
2.15
2.69
3.28
4.16
7.00
2.10
2.62
3.18
4.01
6.71
2.06
2.54
3.07
3.86
6.40
2.03
2.50
3.01
3.76
6.22
2.01
2.47
2.96
3.70
6.09
1.99
2.43
2.91
3.62
5.93
1.97
2.40
2.87
3.57
5.83
1.9
2.3
2.8
3.5
5.7
0.100
0.050
15
0.025
0.010
0.001
2.02
2.48
2.96
3.67
5.81
1.97
2.40
2.86
3.52
5.54
1.92
2.33
2.76
3.37
5.25
1.89
2.28
2.69
3.28
5.07
1.87
2.25
2.64
3.21
4.95
1.85
2.20
2.59
3.13
4.80
1.83
2.18
2.55
3.08
4.70
1.8
2.1
2.5
3.0
4.6
0.100
0.050
0.025
0.010
0.001
1.89
2.28
2.68
3.23
4.82
1.84
2.20
2.57
3.09
4.56
1.79
2.12
2.46
2.94
4.29
1.76
2.07
2.40
2.84
4.12
1.74
2.04
2.35
2.78
4.00
1.71
1.99
2.29
2.69
3.86
1.69
1.97
2.25
2.64
3.77
1.6
1.9
2.2
2.6
3.7
20
0.100
0.050
0.025
0.010
0.001
1.82
2.16
2.51
2.99
4.31
1.77
2.09
2.41
2.85
4.06
1.72
2.01
2.30
2.70
3.79
1.68
1.96
2.23
2.60
3.63
1.66
1.92
2.18
2.54
3.52
1.63
1.87
2.12
2.45
3.37
1.61
1.84
2.08
2.40
3.28
1.5
1.8
2.0
2.3
3.2
25
0.100
0.050
0.025
1.68
1.95
2.22
1.63
1.87
2.11
1.57
1.78
1.99
1.53
1.73
1.92
1.50
1.69
1.87
1.46
1.63
1.80
1.44
1.60
1.75
1.4
1.5
1.7
50
Degrees of Freedom in the D en ominator
Transcribed Image Text:Find the critical values of a two-tailed test with a = 0.05, degrees of freedom in the numerator = 12, and degrees of freedom in the denominator = 25. Click the icon to view the partial table of critical values of the F-distribution. Critical Values of the F-distribution What are the left- and right-hand critical values? Left-hand: Right-hand: (Round to the nearest hundredth place as needed.) F-Distribution Critical Values Degrees of Freedom in the Numerator Area in Right Tail 12 15 20 25 30 40 50 60 0.100 0.050 0.025 0.010 0.001 2.38 3.07 3.87 5.11 9.57 2.34 3.01 3.77 4.96 9.24 2.30 2.94 3.67 4.81 8.90 2.27 2.89 3.60 4.71 8,69 2.25 2.86 3.56 4.65 8.55 2.23 2.83 3.51 4.57 8.37 2.22 2.80 3.47 4.52 8.26 2.2 2.7 3.4 4.4 8.1 0.100 0.050 10 0.025 0.010 0.001 2.28 2.91 3.62 4.71 8.45 2.24 2.85 3.52 4.56 8.13 2.20 2.77 3.42 4.41 7.80 2.17 2.73 3.35 4.31 7.60 2.16 2.70 3.31 4.25 7.47 2.13 2.66 3.26 4.17 7.30 2.12 2.64 3.22 4.12 7.19 2.1 2.6 3.2 4.0 7.1 0.100 0.050 12 0.025 0.010 0.001 2.15 2.69 3.28 4.16 7.00 2.10 2.62 3.18 4.01 6.71 2.06 2.54 3.07 3.86 6.40 2.03 2.50 3.01 3.76 6.22 2.01 2.47 2.96 3.70 6.09 1.99 2.43 2.91 3.62 5.93 1.97 2.40 2.87 3.57 5.83 1.9 2.3 2.8 3.5 5.7 0.100 0.050 15 0.025 0.010 0.001 2.02 2.48 2.96 3.67 5.81 1.97 2.40 2.86 3.52 5.54 1.92 2.33 2.76 3.37 5.25 1.89 2.28 2.69 3.28 5.07 1.87 2.25 2.64 3.21 4.95 1.85 2.20 2.59 3.13 4.80 1.83 2.18 2.55 3.08 4.70 1.8 2.1 2.5 3.0 4.6 0.100 0.050 0.025 0.010 0.001 1.89 2.28 2.68 3.23 4.82 1.84 2.20 2.57 3.09 4.56 1.79 2.12 2.46 2.94 4.29 1.76 2.07 2.40 2.84 4.12 1.74 2.04 2.35 2.78 4.00 1.71 1.99 2.29 2.69 3.86 1.69 1.97 2.25 2.64 3.77 1.6 1.9 2.2 2.6 3.7 20 0.100 0.050 0.025 0.010 0.001 1.82 2.16 2.51 2.99 4.31 1.77 2.09 2.41 2.85 4.06 1.72 2.01 2.30 2.70 3.79 1.68 1.96 2.23 2.60 3.63 1.66 1.92 2.18 2.54 3.52 1.63 1.87 2.12 2.45 3.37 1.61 1.84 2.08 2.40 3.28 1.5 1.8 2.0 2.3 3.2 25 0.100 0.050 0.025 1.68 1.95 2.22 1.63 1.87 2.11 1.57 1.78 1.99 1.53 1.73 1.92 1.50 1.69 1.87 1.46 1.63 1.80 1.44 1.60 1.75 1.4 1.5 1.7 50 Degrees of Freedom in the D en ominator
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