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COMPLETE THE ANOVA SUMMARY BY FILLING IN THE MISSING DATA. (NOTE: UP TO FOUR DECIMAL PLACES ONLY) A study is being conducted to know the variability...
COMPLETE THE ANOVA SUMMARY BY FILLING IN THE MISSING DATA. (NOTE: UP TO FOUR DECIMAL PLACES ONLY)
A study is being conducted to know the variability of different diet fads on both males and
females. Below is the recorded weight loss for each diet fad for each gender. Use 0.05 as level of significance.
Gender
Low Carb
Low Protein
Low Fat
Male 1
56
31
25
Male 2
78
35
26
Male 3
67
41
21
Male 4
64
38
20
Male 5
67
33
17
Female 1
35
24
12
Female 2
45
21
15
Female 3
45
16
17
Female 4
44
19
15
Female 5
35
20
9
Answer:
H01 = µ1 = µ 2 = µ 3 or all diet fads have equal effects.
H02 = µ1 = µ 2 or both males and females have equal weight loss.
H03 = The two variables are independent or there is no interaction effect.
H11 = At least two of the diet fads have different effects.
H12 = There is a difference between genders.
H13 = At least two of the diet fads on gender have different effects.
Table of Means: Cells, Rows, Columns, and Total
Low Carb
Low Protein
Low Fat
Rows
Male
66.4
35.6
21.8
41.2667
Female
40.8
20
13.6
24.8
Columns
53.6
27.8
17.7
33.0333
ANOVA Summary
Source
SS
Df
MS
F
P
Between Groups
Answer
5
Gender
Answer
1
Answer
Answer
<.0001
Diet fad
Answer
2
Answer
Answer
<.0001
Gender x Diet fad
Answer
2
Answer
8.27
0.001853
Within Groups
553.2
24
23.05
Total
Answer
29
All results are significant at the p < 0.05.
