Four subjects perform the same clerical task under four different levels of dist

Question

Four subjects perform the same clerical task under four different levels of distraction: none, mild, moderate, and strong. The number of errors committed by each subject under each condition are shown in the table below:

Subjects

None

Mild

Moderate

Strong

1

2

5

11

14

2

0

8

4

11

3

7

9

13

20

4

3

12

10

15

            If SStotal = 428, what is the F ratio for testing the distraction factor?

Select one:

a. 8.41

b. 19.1

c. 3.14

d. 6.28

Subjects

None

Mild

Moderate

Strong

1

2

5

11

14

2

0

8

4

11

3

7

9

13

20

4

3

12

10

15

Explanation / Answer

its one way anova

Performed in Excel.

output is

From output we can SS total=428

F=8.41

OPTION A

Anova: Single Factor SUMMARY Groups Count Sum Average Variance none 4 12 3 8.666667 mild 4 34 8.5 8.333333 moderate 4 38 9.5 15 strong 4 60 15 14 ANOVA Source of Variation SS df MS F P-value F crit Between Groups 290 3 96.66667 8.405797 0.002802 3.490295 Within Groups 138 12 11.5 Total 428 15

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