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Business Statistics

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Words 1843
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Table 1: Critical values of the Studentized range distribution qr,n−r for α = 0.10 n−r 1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20

r
2
8.93
4.13
3.33
3.01
2.85
2.75
2.68
2.63
2.59
2.56
2.54
2.52
2.50
2.49
2.48
2.47
2.46
2.45
2.45
2.44

3
13.40
5.73
4.47
3.98
3.72
3.56
3.45
3.37
3.32
3.27
3.23
3.20
3.18
3.16
3.14
3.12
3.11
3.10
3.09
3.08

4
16.39
6.77
5.20
4.59
4.26
4.07
3.93
3.83
3.76
3.70
3.66
3.62
3.59
3.56
3.54
3.52
3.50
3.49
3.47
3.46

5
18.50
7.54
5.74
5.03
4.66
4.44
4.28
4.17
4.08
4.01
3.96
3.92
3.88
3.85
3.83
3.80
3.78
3.77
3.75
3.74

6
20.20
8.14
6.16
5.39
4.98
4.73
4.55
4.43
4.34
4.26
4.20
4.16
4.12
4.08
4.05
4.03
4.00
3.98
3.97
3.95

7
21.50
8.63
6.51
5.68
5.24
4.97
4.78
4.65
4.54
4.47
4.40
4.34
4.30
4.26
4.23
4.21
4.18
4.16
4.13
4.12

8
22.60
9.05
6.81
5.93
5.46
5.17
4.97
4.83
4.72
4.63
4.57
4.51
4.46
4.42
4.38
4.36
4.33
4.30
4.29
4.26

1

9
23.60
9.41
7.06
6.14
5.65
5.34
5.14
4.99
4.87
4.78
4.71
4.65
4.59
4.55
4.51
4.49
4.46
4.44
4.42
4.40

10
24.50
9.72
7.29
6.33
5.82
5.50
5.28
5.13
5.01
4.91
4.84
4.78
4.72
4.68
4.63
4.61
4.58
4.55
4.53
4.51

11
25.20
10.00
7.49
6.49
5.97
5.64
5.41
5.25
5.13
5.03
4.95
4.88
4.83
4.79
4.75
4.71
4.68
4.65
4.63
4.61

12
25.90
10.30
7.67
6.65
6.10
5.76
5.53
5.36
5.23
5.13
5.05
4.99
4.93
4.88
4.84
4.80
4.76
4.75
4.72
4.70

13
26.50
10.50
7.83
6.78
6.22
5.87
5.64
5.46
5.33
5.23
5.15
5.08
5.01
4.97
4.93
4.88
4.86
4.83
4.80
4.78

14
27.10
10.70
7.98
6.91
6.34
5.98
5.74
5.56
5.42
5.32
5.23
5.16
5.09
5.05
5.01
4.97
4.93
4.90
4.88
4.84

15
27.60
10.90
8.11
7.02
6.44
6.07
5.83
5.64
5.51
5.40
5.31
5.24
5.18
5.12
5.08
5.04
5.01
4.98
4.95
4.92

Table 2: Critical values of the Studentized range distribution qr,n−r for α = 0.05 n−r 1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20

r
2
17.97
6.08
4.50
3.92
3.63
3.46
3.34
3.26
3.19
3.15
3.11
3.08
3.05
3.03
3.01
2.99
2.98
2.97
2.96
2.95

3
26.98
8.33
5.91
5.04
4.60
4.33
4.16
4.04
3.94
3.87
3.82
3.77
3.73
3.70
3.67
3.64
3.62
3.60
3.59
3.57

4
32.82
9.79
6.82
5.75
5.21
4.89
4.68
4.52
4.41
4.32
4.25
4.19
4.15
4.11
4.07
4.04
4.01
3.99
3.97
3.95

5
37.08
10.88
7.50
6.28
5.67
5.30
5.05
4.88
4.75
4.65
4.57
4.50
4.45
4.40
4.36
4.33
4.30
4.27
4.25
4.23

6
40.40
11.74
8.03
6.70
6.03
5.62
5.35
5.16
5.02
4.91
4.82
4.75
4.69
4.63
4.59
4.55
4.52
4.49
4.46
4.44

7
43.12
12.44
8.47
7.05
6.33
5.89
5.60
5.39
5.24
5.12
5.02
4.95
4.88
4.82
4.78
4.74
4.70
4.67
4.46
4.62

8
45.40
13.03
8.85
7.34
6.58
6.12
5.81
5.59
5.43
5.30
5.20
5.11
5.04
4.99
4.94
4.89
4.85
4.82
4.79
4.76

2

9
47.36
13.54
9.17
7.60
6.80
6.31
5.99
5.76
5.59
5.46
5.35
5.26
5.19
5.13
5.07
5.03
4.99
4.95
4.92
4.89

10
49.07
13.99
9.46
7.82
6.99
6.49
6.15
5.91
5.73
5.59
5.48
5.39
5.31
5.25
5.19
5.15
5.10
5.07
5.03
5.00

11
50.59
14.39
9.71
8.02
7.16
6.64
6.30
6.05
5.86
5.72
5.60
5.51
5.43
5.36
5.30
5.25
5.21
5.17
5.14
5.10

12
51.96
14.75
9.94
8.20
7.32
6.78
6.43
6.17
5.98
5.83
5.71
5.61
5.53
5.46
5.40
5.35
5.30
5.26
5.23
5.19

13
53.20
15.08
10.15
8.37
7.46
6.91
6.55
6.28
6.08
5.93
5.81
5.71
5.62
5.55
5.49
5.43
5.39
5.35
5.31
5.28

14
54.33
15.38
10.35
8.52
7.59
7.03
6.65
6.38
6.18
6.02
5.90
5.79
5.71
5.63
5.57
5.52
5.47
5.42
5.39
5.35

15
55.36
15.65
10.53
8.66
7.71
7.14
6.75
6.48
6.27
6.11
5.98
5.87
5.78
5.71
5.64
5.59
5.54
5.50
5.46
5.42

Table 3: Critical values of the Studentized range distribution qr,n−r for α = 0.01

n−r
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20

r
2
90.03
14.04
8.26
6.51
5.70
5.24
4.94
4.74
4.59
4.48
4.39
4.32
4.26
4.21
4.16
4.13
4.09
4.07
4.04
4.02

3
135.00
19.02
10.62
8.11
6.97
6.33
5.91
5.63
5.42
5.27
5.14
5.04
4.96
4.89
4.83
4.78
4.74
4.70
4.67
4.63

4
164.30
22.29
12.17
9.17
7.80
7.03
6.54
6.20
5.95
5.76
5.62
5.50
5.40
5.32
5.25
5.19
5.14
5.09
5.05
5.01

5
185.60
24.72
13.33
9.95
8.42
7.55
7.00
6.62
6.34
6.13
5.97
5.83
5.72
5.63
5.55
5.48
5.43
5.37
5.33
5.29

6
202.20
26.63
14.24
10.58
8.91
7.97
7.37
6.96
6.65
6.42
6.24
6.10
5.98
5.88
5.79
5.72
5.65
5.60
5.55
5.51

7
215.80
28.20
15.00
11.10
9.32
8.31
7.67
7.23
6.91
6.66
6.47
6.32
6.19
6.08
5.99
5.91
5.84
5.78
5.73
5.68

8
227.20
29.53
15.64
11.55
9.66
8.61
7.93
7.47
7.13
6.87
6.67
6.50
6.37
6.25
6.16
6.07
6.00
5.94
5.88
5.83

3

9
237.00
30.68
16.20
11.93
9.97
8.86
8.16
7.68
7.32
7.05
6.84
6.67
6.52
6.40
6.30
6.22
6.14
6.08
6.02
5.97

10
245.60
31.69
16.69
12.27
10.24
9.09
8.36
7.86
7.49
7.21
6.99
6.81
6.66
6.54
6.43
6.34
6.27
6.20
6.14
6.08

11
253.20
32.59
17.13
12.57
10.48
9.30
8.54
8.02
7.64
7.35
7.12
6.94
6.79
6.66
6.55
6.46
6.38
6.31
6.24
6.19

12
260.00
33.40
17.53
12.84
10.70
9.48
8.71
8.17
7.78
7.48
7.25
7.06
6.90
6.77
6.66
6.56
6.48
6.40
6.34
6.28

13
266.20
34.13
17.89
13.09
10.89
9.65
8.86
8.31
7.91
7.60
7.36
7.16
7.00
6.87
6.75
6.65
6.57
6.49
6.43
6.37

14
271.80
34.81
18.22
13.32
11.08
9.80
8.99
8.43
8.02
7.71
7.46
7.26
7.10
6.96
6.84
6.74
6.65
6.57
6.51
6.45

15
277.00
35.43
18.52
13.53
11.24
9.95
9.12
8.55
8.13
7.81
7.56
7.35
7.18
7.04
6.92
6.82
6.73
6.65
6.58
6.52

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