LaunchPad for Moore's Introduction to the Practice of Statistics (12 month access)
LaunchPad for Moore's Introduction to the Practice of Statistics (12 month access)
8th Edition
ISBN: 9781464133404
Author: David S. Moore, George P. McCabe, Bruce A. Craig
Publisher: W. H. Freeman
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Chapter 13, Problem 8E

(a)

To determine

To find: The degree of freedom and outline the ANOVA table with the sources of variance.

(a)

Expert Solution
Check Mark

Answer to Problem 8E

Solution: The degree of freedom for factor sex is 1 and for age, the degree of freedom is 2. The degree of freedom of interaction factor is 2.

Explanation of Solution

Calculation: For the provided data, the error term can be calculated as:

Error term=NIJ=663×2=60

The degree of freedom for Sex can be calculated as:

d.f=I1=21=1

The degree of freedom for Age can be calculated as:

d.f=J1=31=2

The degree of freedom for Interaction can be calculated as:

d.f=(I1)(J1)=1×2=2

The ANOVA table with different sources of variance and degree of freedom is as follows:

Sources

Degree of freedom

Sex

1

Age

2

Interaction

2

Error

60

Total

65

(b)

To determine

To find: The degree of freedom and outline the ANOVA table with the sources of variance.

(b)

Expert Solution
Check Mark

Answer to Problem 8E

Solution: The degree of freedom for week after harvest is 4 and for amount of water, the degree of freedom is 1. The degree of freedom of interaction factor is 4.

Explanation of Solution

Calculation: For the provided data, the error term can be calculated as:

Error term=NIJ=3010=20

The degree of freedom for Week after harvest can be calculated as:

d.f=I1=51=4

The degree of freedom for Amount of water can be calculated as:

d.f=J1=21=1

The degree of freedom for Interaction can be calculated as:

d.f=(I1)(J1)=4×1=4

The ANOVA table with different sources of variance and degree of freedom is as follows:

Sources

Degree of freedom

Week after harvest

4

Amount of water

1

Interaction

4

Error

20

Total

29

(c)

To determine

To find: The degree of freedom and outline the ANOVA table with the sources of variance.

(c)

Expert Solution
Check Mark

Answer to Problem 8E

Solution: The degree of freedom for factor mixture is 5 and for freezing/thawing, the degree of freedom is 2. The degree of freedom of interaction factor is 10.

Explanation of Solution

Calculation: For the provided data, the error term can be calculated as:

Error term=NIJ=546×3=36

The degree of freedom for Mixture can be calculated as:

d.f=I1=61=5

The degree of freedom for freezing /thawing can be calculated as:

d.f=J1=31=2

The degree of freedom for Interaction can be calculated as:

d.f=(I1)(J1)=5×2=10

The ANOVA table with different sources of variance and degree of freedom is as follows:

Sources

Degree of freedom

Mixture

5

freezing/thawing

2

Interaction

10

Error

36

Total

53

(d)

To determine

To find: The degree of freedom and outline the ANOVA table with the sources of variance.

(d)

Expert Solution
Check Mark

Answer to Problem 8E

Solution: The degree of freedom for factor different colored tags is 3 and for the type of buyers, degree of freedom is 1. The degree of freedom of interaction factor is 3.

Explanation of Solution

Calculation: For the provided data, the error term can be calculated as:

Error term=NIJ=1384×2=130

The degree of freedom for different colored tags can be calculated as:

d.f=I1=41=3

The degree of freedom for the type of buyers can be calculated as:

d.f=J1=21=1

The degree of freedom for Interaction can be calculated as:

d.f=(I1)(J1)=3×1=3

The ANOVA table with different sources of variance and degree of freedom is as follows:

Sources

Degree of freedom

Different colored tags

3

Type of buyers

1

Interaction

3

Error

130

Total

137

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