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MUST SHOW SPSS OUTPUT/WORK-I am having difficulty figuring out how to put data i

ID: 3174345 • Letter: M

Question

MUST SHOW SPSS OUTPUT/WORK-I am having difficulty figuring out how to put data into SPSS correctly

A researcher is interested in studying the effect that the amount of fat in the diet and amount of exercise has on the mental acuity of middle-aged women. The researcher used three different treatment levels for the diet and two levels for the exercise. The results of the acuity test for the subjects in the different treatment levels are shown below.

Diet

Exercise

<30% fat

30% - 60% fat

>60% fat

<60 minutes

4

3

2

4

1

2

2

2

2

4

2

2

3

3

1

60 minutes

6

8

5

or more

5

8

7

4

7

5

4

8

5

5

6

6

a. Perform a two-way analysis of variance and explain the results. (Show all work to receive full credit)

b. Find the effect size for each factor and the interaction and explain the results. (Show all work to receive full credit)

Diet

Exercise

<30% fat

30% - 60% fat

>60% fat

<60 minutes

4

3

2

4

1

2

2

2

2

4

2

2

3

3

1

60 minutes

6

8

5

or more

5

8

7

4

7

5

4

8

5

5

6

6

Explanation / Answer

(a) Ho: not significant

Ha: significant

Assume a=0.05

The p-value of Factor1 is less than 0.05, we reject Ho.

So we can conclude that Factor1 is significant.

The p-value of Factor 2 is less than 0.05, we reject Ho.

So we can conclude that Factor 2 is significant

The p-value of Interaction is less than 0.05, we reject Ho.

So we can conclude that Interaction is significant.

(b) the effect size for Factor 1 is 315.2

the effect size for Factor 2 is 4.65

ANOVA table Source SS    df MS F    p-value Factor 1 90.13 1 90.133 135.20 2.39E-11 Factor 2 6.20 2 3.100 4.65 .0196 Interaction 18.47 2 9.233 13.85 .0001 Error 16.00 24 0.667 Total 130.80 29
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