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1. Direct Indirect Combination 17.0 16.6 25.2 18.5 22.2 24.0 15.8 20.5 21.5 18.2

ID: 3250669 • Letter: 1

Question

1.

Direct

Indirect

Combination

17.0

16.6

25.2

18.5

22.2

24.0

15.8

20.5

21.5

18.2

18.3

26.8

20.2

24.2

27.5

16.0

19.8

25.8

13.3

21.2

24.2

Anova: Single Factor

SUMMARY

Groups

Count

Sum

Average

Variance

Column 1

7

119

17

5.01

Column 2

7

142.8

20.4

6.2567

Column 3

7

175

25

4.01

ANOVA

Source of Variation

SS

df

MS

F

P-value

F crit

Between Groups

225.68

2

112.84

22.1593

1.39925E-05

3.5546

Within Groups

91.66

18

5.0922

Total

317.34

20

Test for the equality of the population means at the 5% level of significance by the P value method and also by the Critical value method.

Direct

Indirect

Combination

17.0

16.6

25.2

18.5

22.2

24.0

15.8

20.5

21.5

18.2

18.3

26.8

20.2

24.2

27.5

16.0

19.8

25.8

13.3

21.2

24.2

Explanation / Answer

from above as p value is less then 0.05 level and test stat value is higher then critical value; we reject null hypothesis, we reject null hypothesis that all means are equal.

And conclude that at least one group has different means.