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

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
icon
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
*
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
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
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Equality of Variances
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,