The conclusion of a one-way ANOVA procedure for the data shown in the table is to reject the null hypothesis that the means are all equal. Determine which means are different using a = 0.05. Sample 1 10 Sample 2 14 Sample 3 18 20 19 5 18 20 13 16 23 Click here to view the ANOVA summary table. Click here to view a table of critical values for the studentized range ? Let x,, x, and x, be the means for samples 1, 2, and 3, respectively. Find the absolute values of the differences between the means. (Simplify your answer. Type an integer or a decimal. Do not round.) (Simplify your answer. Type an integer or a decimal. Do not round.) (Simplify your answer. Type an integer or a decimal. Do not round.) Find the Tukey-Kramer critical range CR. Note that since the samples are all the same size, CR, 2 = CR, 3= CR2 = CR. CR = (Round to two decimal places as needed.) Conclude that the means for (1) are different 1: ANOVA Summary Table Sum of Degrees of Mean Sum of Squares 271.5 70.75 Source Freedom Squares Between 135.75 17.269 Within 7.861 Total 342 25 11
The conclusion of a one-way ANOVA procedure for the data shown in the table is to reject the null hypothesis that the means are all equal. Determine which means are different using a = 0.05. Sample 1 10 Sample 2 14 Sample 3 18 20 19 5 18 20 13 16 23 Click here to view the ANOVA summary table. Click here to view a table of critical values for the studentized range ? Let x,, x, and x, be the means for samples 1, 2, and 3, respectively. Find the absolute values of the differences between the means. (Simplify your answer. Type an integer or a decimal. Do not round.) (Simplify your answer. Type an integer or a decimal. Do not round.) (Simplify your answer. Type an integer or a decimal. Do not round.) Find the Tukey-Kramer critical range CR. Note that since the samples are all the same size, CR, 2 = CR, 3= CR2 = CR. CR = (Round to two decimal places as needed.) Conclude that the means for (1) are different 1: ANOVA Summary Table Sum of Degrees of Mean Sum of Squares 271.5 70.75 Source Freedom Squares Between 135.75 17.269 Within 7.861 Total 342 25 11
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Transcribed Image Text:2: Critical Values of the Studentized Range
Critical values of the studentized range for a = 0.05
D1
D2
2
4
6
7
8
9
10
D2
1
17.97
26.98
38.32
37.08
40.41
43.12
45.40
47.36
49.07
1
2
6.09
8.33
9.80
10.88
11.74
12.44
13.03
13.54
13.99
2
3
4.50
5.91
6.82
7.50
8.04
8.48
8.85
9.18
9.46
3
4
3.93
5.04
5.76
6.29
6.71
7.05
7.35
7.60
7.83
4
5
3.64
4,60
5.22
5.67
6.03
6.33
6.58
6.80
6.99
5
6.
3.46
4.34
4.90
5.30
5.63
5.90
6.12
6.32
6.49
6.
7
3.34
4.16
4.68
5.06
5.36
5.61
5.82
6.00
6.16
7
3.26
4.04
4.53
4.89
5.17
5.40
5.60
5.77
5.92
8
9
3.20
3.95
4.41
4.76
5.02
5.24
5.43
5.59
5.74
9
10
3.15
3.88
4.33
4.65
4.91
5.12
5.30
5.46
5.60
10
11
3.11
3.82
4.26
4.57
4.82
5.03
5.20
5.35
5.49
11
12
3.08
3.77
4.20
4.51
4.75
4.95
5.12
5.27
5.39
12
13
3.06
3.73
4.15
4.45
4.69
4.88
5.05
5.19
5.32
13
14
3.03
3.70
4.11
4.41
4.64
4.83
4.99
5.13
5.25
14
15
3.01
3.67
4.08
4.37
4.59
4.78
4.94
5.08
5.20
15
16
3.00
3.65
4.05
4.33
4.56
4.74
4.90
5.03
5.15
16
17
2.98
3.63
4.02
4.30
4.52
4.70
4.86
4.99
5.11
17
18
2.97
3.61
4.00
4.28
4.49
4.67
4.82
4.96
5.07
18
19
2.96
3.59
3.98
4.25
4.47
4.65
4.79
4.92
5.04
19
20
2.95
3.58
3.96
4.23
4.44
4.62
4.77
4.90
5.01
20
24
2.92
3.53
3.90
4.17
4.37
4.54
4.68
4.81
4.92
24
30
2.89
3.49
3.85
4.10
4.30
4.46
4.60
4.72
4.82
30
40
2.86
3.44
3.79
4.04
4.23
4.36
4.52
4.63
4.73
40
60
2.83
3.40
3.74
3.98
4.16
4.31
4.44
4.55
4.65
60
120
2.80
3.36
3.68
3.92
4.10
4.24
4.36
4.47
4.56
120
2.77
3.31
3.63
3.86
4.03
4.17
4.29
4.39
4.47
D2
2
3
4
5
6
7
8
9
10
D2
D,
O all the populations
O populations 2 and 3
O populations 1 and 2 and populations 2 and 3
O populations 1 and 3
(1)
populations 1 and 2 and populations 1 and 3 O populations 1 and 3 and populations 2 and 3
O populations 1 and 2
O none of the populations
Transcribed Image Text:Sample 1
10
2.
The conclusion of a one-way ANOoVA procedure for the data shown in the table is to reject the null hypothesis that the
Sample 2
means are all equal. Determine which means are different using a = 0.05.
Sample 3
18
14
7
20
19
18
20
16
23
Click here to view the ANOVA summary table.
Click here to view a table of critical values for the studentized range.?
Let x, X2, and x, be the means for samples 1, 2, and 3, respectively. Find the absolute values of the differences between the means.
(Simplify your answer. Type an integer or a decimal. Do not round.)
(Simplify your answer. Type an integer or a decimal. Do not round.)
(Simplify your answer. Type an integer or a decimal. Do not round.)
Find the Tukey-Kramer critical range CR. Note that since the samples are all the same size, CR, 2= CR,3= CR23 = CR.
CR =
(Round to two decimal places as needed.)
Conclude that the means for (1)
are different.
1: ANOVA Summary Table
Degrees of Mean Sum of
Squares
Sum of
Source
Squares
Freedom
Between
271.5
2
135.75
17.269
Within
70.75
9
7.861
Total
342 25
11
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