1. In a study to compare the number of users among four similar apps, the following ANOVA table was constructed: Source Degrees of Freedom | Sum of Squares Mean Square Test Statistic |Treatments Blocks 4063 0.123 Error 504 Total
1. In a study to compare the number of users among four similar apps, the following ANOVA table was constructed: Source Degrees of Freedom | Sum of Squares Mean Square Test Statistic |Treatments Blocks 4063 0.123 Error 504 Total
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
Conduct an F-test at α = 0.05 to determine whether the average number of users are the same for all 4 apps.
![1. In a study to compare the number of users among four similar apps, the following ANOVA table
was constructed:
Source
Degrees of Freedom Sum of Squares Mean Square Test Statistic
Treatments
Blocks
*
*
4063
5
*
*
0.123
Error
504
*
Total
*](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa27b8ae7-d9e0-4880-8cf3-6050f8db8c3f%2F6832576b-f55b-4ac7-bc1f-8d040a9aca97%2Fcaw3t_processed.png&w=3840&q=75)
Transcribed Image Text:1. In a study to compare the number of users among four similar apps, the following ANOVA table
was constructed:
Source
Degrees of Freedom Sum of Squares Mean Square Test Statistic
Treatments
Blocks
*
*
4063
5
*
*
0.123
Error
504
*
Total
*
![Table A.9 Critical Values for F Distributions
v = numerator df
1
2
3
4
5
6
7
8.
58.91
.100
.050
39.86
49.50
53.59
55.83
57.24
58.20
59.44
59.86
161.45
199.50
215.71
224.58
230.16
233.99
236.77
238.88
240.54
1
4999.50
500,000
.010
4052.20
5403.40
5624.60
5763.60
5859.00
5928.40
5981.10
6022.50
.001
405,284
540,379
562,500
576,405
585,937
592,873
598,144
602,284
.100
.050
.010
8.53
9.00
9.16
9.24
9.29
9.33
9.35
9.37
9.38
19.00
19.33
19.37
99.37
18.51
19.16
19.25
19.30
19.35
19.38
98.50
99.00
99.17
99.25
99.30
99.33
99.36
99.39
.001
998.50
999.00
999.17
999.25
999.30
999.33
999.36
999.37
999.39
.100
5.54
5.46
5.39
5.34
5.31
5.28
5.27
5.25
5.24
8.81
.050
10.13
9.55
9.28
9.12
9.01
8.94
8.89
8.85
3
34.12
30.82
27.67
27.49
130.62
.010
29.46
28.71
28.24
27.91
27.35
.001
167.03
148.50
141.11
137.10
134.58
132.85
131.58
129.86
.100
4.54
4.32
4.19
4.11
4.05
4.01
3.98
3.95
3.94
.050
7.71
6.94
6.59
6.39
6.26
6.16
6.09
6.04
6.00
16.69
15.98
53.44
.010
21.20
18.00
15.52
15.21
14.98
14.80
14.66
.001
74.14
61.25
56.18
51.71
50.53
49.66
49.00
48.47
.100
4.06
3.78
3.62
3.52
3.32
3.45
5.05
3.40
3.37
3.34
.050
6.61
5.79
5.41
5.19
4.95
4.88
4.82
4.77
.010
16.26
13.27
12.06
11.39
10.97
10.67
10.46
10.29
10.16
.001
47.18
37.12
33.20
31.09
29.75
28.83
28.16
27.65
27.24
.100
3.78
3.46
3.29
3.18
3.11
3.05
3.01
2.98
2.96
.050
5.99
5.14
4.76
4.53
4.39
4.28
4.21
4.15
4.10
.010
8.47
13.75
35.51
10.92
9.78
23.70
9.15
21.92
8.75
8.26
19.46
8.10
7.98
.001
27.00
20.80
20.03
19.03
18.69
.100
3.59
3.26
3.07
2.96
2.88
2.83
2.78
2.75
2.72
5.59
12.25
4.35
4.12
7.85
.050
4.74
3.97
3.87
3.79
3.73
3.68
9.55
8.45
18.77
.010
7.46
7.19
6.99
6.84
6.72
.001
29.25
21.69
17.20
16.21
15.52
15.02
14.63
14.33
.100
3.46
3.11
2.92
2.81
2.73
2.67
2.62
2.59
2.56
.050
.010
5.32
4.46
4.07
3.84
3.69
3.58
3.50
3.44
3.39
6.37
12.86
11.26
8.65
7.59
7.01
6.63
6.18
6.03
12.05
5.91
.001
25.41
18.49
15.83
14.39
13.48
12.40
11.77
.100
3.36
3.01
2.81
2.69
2.61
2.55
2.51
2.47
2.44
.050
5.12
4.26
3.86
3.63
3.48
3.37
3.29
3.23
3.18
v = denominator df](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa27b8ae7-d9e0-4880-8cf3-6050f8db8c3f%2F6832576b-f55b-4ac7-bc1f-8d040a9aca97%2F69u6bad_processed.png&w=3840&q=75)
Transcribed Image Text:Table A.9 Critical Values for F Distributions
v = numerator df
1
2
3
4
5
6
7
8.
58.91
.100
.050
39.86
49.50
53.59
55.83
57.24
58.20
59.44
59.86
161.45
199.50
215.71
224.58
230.16
233.99
236.77
238.88
240.54
1
4999.50
500,000
.010
4052.20
5403.40
5624.60
5763.60
5859.00
5928.40
5981.10
6022.50
.001
405,284
540,379
562,500
576,405
585,937
592,873
598,144
602,284
.100
.050
.010
8.53
9.00
9.16
9.24
9.29
9.33
9.35
9.37
9.38
19.00
19.33
19.37
99.37
18.51
19.16
19.25
19.30
19.35
19.38
98.50
99.00
99.17
99.25
99.30
99.33
99.36
99.39
.001
998.50
999.00
999.17
999.25
999.30
999.33
999.36
999.37
999.39
.100
5.54
5.46
5.39
5.34
5.31
5.28
5.27
5.25
5.24
8.81
.050
10.13
9.55
9.28
9.12
9.01
8.94
8.89
8.85
3
34.12
30.82
27.67
27.49
130.62
.010
29.46
28.71
28.24
27.91
27.35
.001
167.03
148.50
141.11
137.10
134.58
132.85
131.58
129.86
.100
4.54
4.32
4.19
4.11
4.05
4.01
3.98
3.95
3.94
.050
7.71
6.94
6.59
6.39
6.26
6.16
6.09
6.04
6.00
16.69
15.98
53.44
.010
21.20
18.00
15.52
15.21
14.98
14.80
14.66
.001
74.14
61.25
56.18
51.71
50.53
49.66
49.00
48.47
.100
4.06
3.78
3.62
3.52
3.32
3.45
5.05
3.40
3.37
3.34
.050
6.61
5.79
5.41
5.19
4.95
4.88
4.82
4.77
.010
16.26
13.27
12.06
11.39
10.97
10.67
10.46
10.29
10.16
.001
47.18
37.12
33.20
31.09
29.75
28.83
28.16
27.65
27.24
.100
3.78
3.46
3.29
3.18
3.11
3.05
3.01
2.98
2.96
.050
5.99
5.14
4.76
4.53
4.39
4.28
4.21
4.15
4.10
.010
8.47
13.75
35.51
10.92
9.78
23.70
9.15
21.92
8.75
8.26
19.46
8.10
7.98
.001
27.00
20.80
20.03
19.03
18.69
.100
3.59
3.26
3.07
2.96
2.88
2.83
2.78
2.75
2.72
5.59
12.25
4.35
4.12
7.85
.050
4.74
3.97
3.87
3.79
3.73
3.68
9.55
8.45
18.77
.010
7.46
7.19
6.99
6.84
6.72
.001
29.25
21.69
17.20
16.21
15.52
15.02
14.63
14.33
.100
3.46
3.11
2.92
2.81
2.73
2.67
2.62
2.59
2.56
.050
.010
5.32
4.46
4.07
3.84
3.69
3.58
3.50
3.44
3.39
6.37
12.86
11.26
8.65
7.59
7.01
6.63
6.18
6.03
12.05
5.91
.001
25.41
18.49
15.83
14.39
13.48
12.40
11.77
.100
3.36
3.01
2.81
2.69
2.61
2.55
2.51
2.47
2.44
.050
5.12
4.26
3.86
3.63
3.48
3.37
3.29
3.23
3.18
v = denominator df
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