Please use the exact formula in the given example image . and f distribution table
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Q4 Please use the exact formula in the given example image . and f distribution table
Transcribed Image Text:The F Distribution*
*Table entries in lightface type are critical values for the 05 level of significance.
Boldface type values are for the .01 level of significance.
Criticał
Degrees of
Freedom:
Denominator
Degrees of Freedom: Numerator
3.
4
7
8
9
10
11
12
14
16
20
1
239
200
4999 5403 5625
216
230
5764
161
225
234
237
241
242
243
244
246
6106 6142 6169 6208
245
248
4052
5859
5928
5981
6022
6056
6082
19.36
19.37
19.38
19.41 19.42 19.43 19.44
99.42 99.43 99.44 99.45
2
18.51 19.00 19.16 19.25 19.30 19.33
19.39
19.40
98.49 99.00 99.17 99.25 99.30 99.33
99.34
99.36 99.38
99.40 99.41
8.88
28.24 27.91 27.67
8.94
8.84
8.81
8.69 8.66
27.23 27.13 27.05 26.92 26.83 26.69
10.13 9.55 9.28
9.12
9.01
8.78
8.76
8.74
8.71
3.
34.12 30.92 29.46 28.71
27.49 27.34
6.04
5.96
14.54 14.45 14.37 14.24 14.15 14.02
6.94
6.59
6.39
6.26
6.16
6.09
6.00
5.91
5.87
7.71
21.20 18.00 16.69 15.98
4
5.93
5.84
5.80
15.52 15.21 14.98
14.80 14.66
6.61
5.79
5.19
5.05
4.95
4.88
4.82
4.78
4.74
4.70
1.68
1.61
1.60 1.56
9.68
5
5.41
16.26 13.27 12.06 11.39 10.97 10.67 10.45
10.27 10.15
10.05
9.96
9.89
9.77
9.55
4.15
8.10
5.14 4.76
4.53
4.10
4.06
4.39
8.75
4.00
7.72
6
5.99
4.28
4.21
4.03
3.96
3.92 3.87
13.74 10.92 9.78
9.15
8.47
8.26
7.98
7.87
7.79
7.60
7.52
7.39
3.79
3.73
6.84
4.74 4.35
3.97
3.87
3.68
3.63
3.60
5.59
12.25
3.49
6.27
7
4.12
3.57
3.52
3.44
9.55 8.45
7.85
7.46
7.19
7.00
6.71
6.62
6.54
6.47
6.35
6.15
3.50
6.19
3.28
5.67
4.46 4.07
3.69
3.58
6.37
3.39
5.91
3.34
3.31
3.23
5.56
5.32
3.84
3.44
3.20
5.48
3.15
5.36
8
11.26
8.65 7.59
7.01
6.63
6.03
5.82
5.74
5.12
3.37
3.23
3.29.
5.62
3.18
3.13
3.10
3.07
5.11
4.26 3.86
3.02
3.63
6.42
9.
3.48
2.98
2.93
10.56
8.02 6.99
6.06
5.80
5.47
5.35
5.26
5.18
5.00
4.92
4.80
3.07
5.06
2.97
3.02
4.95
2.91
4.71
2.94
4.96
10.04
3.48
3.33
5.64
3.22
3.14
5.21
2.86
4.60
4.10 3.71
2.82
4.52
10
2.77
7.56 6.55
5.99
5.39
4.85
4.78
4.41
3.09
5.07
2.95
2.90
4.84
9.65
3.59
6.22
3.20
5.32
2.82
4.46
I 1
3.98
3.36
3.01
2.86
2.79
2.74
2.70 2.65
7.20
5.67
4.88
4.74
4.63
4.54
4.40
4.29
4,21
4.10
3.26
5.41
3.00
4.82
2.80
4.39
2.76
4.30
3.49
2.69
3.11
5.06
2.92
2.85
4.50
2.72
4.22
2.64
2.60 2.54
4.75
9.33
3.88
6.93 5.95
12
4.65
4.16
4.05
3.98
3.86
2.67
4.10
2.63
3.02
4.86
2.92
2.84
2.77
2.72
2.60
4.67
9.07
3.80
6.70 5.74
2.55
3.85
3.18
2.51
3.78
13
3.41
2.46
5.20
4.62
4.44
4.30
4.19
4.02
3.96
3.67
2.85
2.65
4.03
14
4.60
3.74
3.34
3.11
2.96
2.77
2.70
2.60
2.56
2.53
2.48
2.44
2.39
8.86
6.51
5.56
5.03
4.69
4.46
4.28
4.14
3.94
3.86
3.80
3.70
3.62 3.51
2.79
2.59
2.55
2.70
4.14
2.64
2.48
2.43
2.39
3.56 3.48
2.90
2.51
2.33
4.54
8.68
15
3.68
3.29
3.06
6.36
5.42
4.89
4.56
4.32
4.00
3.89
3.80
3.73
3.67
3.36
2.66
2.59
3.89
2.54
2.8.5
4.44
2.74
2.49
2.45
2.42
2.37
2.28
3.37 3.25
16
4.49
3.63
3.24
3.01
2.33
8.53
6.23
5.29
4.77
4.20
4.03
3.78
3.69
3.61
3.55
3.45
Transcribed Image Text:R4 A researcher wants to examine the effects on types of exercises on weight loss for a three-month period.
Participants were randomly assigned to different types of exercise group (cardio workout, yoga and dance).
The amount of weight loss (in kg) is shown in the following table.
Types of Exercise
Workout Yoga
Cardio
Dance
7
2
5
4
1
6
4
10
3
2
2
(a) Use One-way ANOVA with oc = .05 and the hypothesis testing approach to test whether there are
significant differences in the weight loss in the 3 types of treatment groups.
(b) Use the Scheffe Test to show which treatment groups are significantly different.
(c) Calculate and interpret the effect size of this treatment.
(d) Report your findings using an appropriate APA format, 7" edition table.
(e) Briefly justify why One-way ANOVA is used to test the hypothesis for the data above.
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