A researcher is interested in studying the effect that the amount of fat in the

Question

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

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

where e -exercise, d-diet, r-replication

all the both the factors and their interaction are significant at 5% level of significance

Source DF Sum of Squares Mean Square F Value Pr > F Model 9 117.9333333 13.1037037 20.37 <.0001 Error 20 12.8666667 0.6433333 Corrected Total 29 130.8000000

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