Question

Test whether there is a significant difference between the means for marketing managers (1), marketing research specialists (2), and advertising specialists (3).

Difference Absolute Value Conclusion
x₁ − x₂ ________________ ___________


The following data are from an experiment designed to investigate the perception of corporate ethical values among individuals who are in marketing. Three groups are considered: management, research and advertising (higher scores indicate higher ethical values).

Marketing Managers Marketing Research Advertising
7 6 9
6 6 10
5 5 9
6 5 8
7 6 9
5 5 9

Answer 1

To determine if there are significant differences between the means of corporate ethical values among marketing managers, marketing research specialists, and advertising specialists, a one-way Analysis of Variance (ANOVA) test should be used.

The question presented requires us to assess whether there are significant differences between the means of scores representing the perceptions of corporate ethical values among three distinct groups: marketing managers, marketing research specialists, and advertising specialists. To test this, we would typically use a statistical test suitable for comparing the means across more than two groups, which is the Analysis of Variance (ANOVA). ANOVA tests the null hypothesis that all group means are equal against the alternative hypothesis that at least one group mean is different. If the p-value from the ANOVA is less than the chosen level of significance, usually 0.05 for a 5 percent level, we reject the null hypothesis. This means we have enough evidence to state there is a statistically significant difference between the group means. In the provided context, a one-way ANOVA would be appropriate for analyzing the differences among the scores of marketing managers, marketing research specialists, and advertising specialists.