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In a pilot study examining the effectiveness of three commercials (A, B, and C),

ID: 3438264 • Letter: I

Question

In a pilot study examining the effectiveness of three commercials (A, B, and C), 10 consumers were assigned to view each commercial and rate it on a 9-point Likert scale. The data obtained are shown in the following table. These data should be analyzed by doing hand calculations (i.e., without using the computer).

A

B

C

4

7

8

5

4

7

3

6

7

4

5

6

3

4

8

4

6

7

4

5

8

3

5

8

5

4

5

5

4

6

a. Calculate the category means and the grand mean.

b. Calculate SSy, SSx, and SSerror.

c. Calculate 2.

d. Calculate the value of F.

e. Are the three commercials equally effective?

A

B

C

4

7

8

5

4

7

3

6

7

4

5

6

3

4

8

4

6

7

4

5

8

3

5

8

5

4

5

5

4

6

Explanation / Answer

Prepare anova table from the sample

H0: All three commercials are equally effective

Ha: All three commercials are not equally effective

As p value =0.0000 < 0.01, reject null hypothesis.

There is statistical evidence to show that All three commercials are not equally effective

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