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1. Consumer reactions to television commercials were measured (on a continuous s

ID: 3058642 • Letter: 1

Question

1. Consumer reactions to television commercials were measured (on a continuous scale) for different products in order to test the null hypothesis that the different products have commercials resulting in the same mean reaction score. In order to test this claim at a 0.05 significance level, we generated the following analysis of variance table.

Model

5

50.00

10.00

3.33

0.032

a. How many different samples (groups) are included in this study?

b. What are the null and alternative hypotheses?

c. What is the value of the test statistic?

d. What is the critical value for this test statistic?

e. What is the p-value corresponding to the test statistic?

f. Based on these results, what do you conclude about equality of the population means?

source DF SS MS F P value

Model

5

50.00

10.00

3.33

0.032

Error 15 45.00 3.00 Total 20 95.00

Explanation / Answer

1. Consumer reactions to television commercials were measured (on a continuous scale) for different products in order to test the null hypothesis that the different products have commercials resulting in the same mean reaction score. In order to test this claim at a 0.05 significance level, we generated the following analysis of variance table.

Model

5

50.00

10.00

3.33

0.032

a. How many different samples (groups) are included in this study?

b. What are the null and alternative hypotheses?

c. What is the value of the test statistic?

d. What is the critical value for this test statistic?

e. What is the p-value corresponding to the test statistic?

f. Based on these results, what do you conclude about equality of the population means?

source DF SS MS F P value

Model

5

50.00

10.00

3.33

0.032

Error 15 45.00 3.00 Total 20 95.00