Question: An experiment was conducted using a randomized block design. The data from the experiment are displayed in the following table. Block Treatment 1 2 3

An experiment was conducted using a randomized block design. The data from the experiment are displayed in the following table.

Block

Treatment

1

2

3

1

2

3

5

2

8

6

7

3

7

6

5

a. Fill in the missing entries in the ANOVA table.

Source

Df

SS

MS

F

Treatments 21.555 5.5427

Blocks .4445

Error X

Total 8 30.2222 X X

b. At the 0.05 level of significance, does it appear that the fitted ANOVA model is useful?

c. At the 0.05 level of significance, does it appear that a blocking effect exists?

i. Did you expect the conclusion you reached?

d. At the 0.05 level of significance, does it appear that a treatment effect exists?

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