An experiment is conducted to investigate the toxic effect o

An experiment is conducted to investigate the toxic effect of three chemicals A, B, and C, on the skin of rats. Three adjacent 1-inch squares are marked on the backs of eight rats, and each of three chemicals is applied to each rat, thus setting up a randomized block design. The squares of skin are then scored from 0 to 10, depending on the degree of irritation. The Excel Summary Output for the data and the partially completed ANOVA Table at = 0.01 is below.

SUMMARY

Count

Sum

Average

Variance

1

3

14

4.666666667

2.333333

2

3

21

7

7

3

3

18

6

9

4

3

19

6.333333333

2.333333

5

3

24

8

1

6

3

18

6

1

7

3

18

6

1

8

3

18

6

1

A

8

50

6.25

1.642857

B

8

57

7.125

2.125

C

8

43

5.375

4.267857

Calculate the overall sample mean for the data.

Complete the ANOVA Table for the Test

SUMMARY	Count	Sum	Average	Variance
1	3	14	4.666666667	2.333333
2	3	21	7	7
3	3	18	6	9
4	3	19	6.333333333	2.333333
5	3	24	8	1
6	3	18	6	1
7	3	18	6	1
8	3	18	6	1
A	8	50	6.25	1.642857
B	8	57	7.125	2.125
C	8	43	5.375	4.267857

Solution