In: Statistics and Probability
A manufacturer of pens has hired an advertising agency to develop an advertising campaign for the upcoming holiday season. To prepare for this project, the research director decides to initiate a study of the effect of advertising on product perception. Advertisement A greatly undersells the pen’s characteristics. Advertisement B slightly undersells the pen’s characteristics. Advertisement C slightly oversells the pen’s characteristics. Advertisement D greatly oversells the pen’s characteristics. A sample of 24 adult respondents, taken from a larger focus group, is randomly assigned to the four advertisements. The respondents are then asked to rate the pen from 1 to 7 (lowest to highest) on the product characteristic scales of appearance, durability, and writing performance. The combined scores of three ratings for the 24 respondents are as follows.
| 
 A  | 
 B  | 
 C  | 
 D  | 
| 
 15  | 
 16  | 
 8  | 
 5  | 
| 
 18  | 
 17  | 
 7  | 
 6  | 
| 
 17  | 
 21  | 
 10  | 
 13  | 
| 
 19  | 
 16  | 
 15  | 
 11  | 
| 
 19  | 
 19  | 
 14  | 
 9  | 
| 
 20  | 
 17  | 
 14  | 
 10  |