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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 of different diet fads on both males and females

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

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

5

Gender

1

<>

2

<>

2

8.27

0.001853

Within Groups

553.2

24

23.05

Total