Fred Luttrell is the new product development manager for Axcis Athletic Shoe Company. He recently completed consumer testing of 12 new shoe concepts. As part of this test, a panel of consumers was asked to rate the 12 shoe concepts on two attributes, overall quality and style. A 10-point scale was used, with anchors at 10=best possible and 1= worst possible.

The panel of 20 consumers met as a group and came up with the ratings as a group. Fred believes that there is a relationship between the style ratings and the overall quality ratings. He believes that shoes receiving higher ratings on style also will tend to receive higher ratings on overall quality. The ratings results for the 12 shoe concepts are as follows.

Questions 

1. Which of the statistical procedures covered in this chapter is appropriate for addressing Fred’s theory? Why would you choose that technique over the other?

2. Use the technique that you chose to determine whether Fred’s theory is supported by the statistical evidence. State the appropriate null and alternative hypotheses. Is Fred’s theory supported by the statistical evidence? Why or why not?

Transcribed Image Text:

Shoe Style Model Rating 1 2 3 4 5 6 96 7 6 9 8 5 Quality Rating CO 8 7 8 26 9 7 5 Shoe Style Model Rating 7 9 8 7 9 8 10 10 11 6 12 9 Quality Rating 7 9 6 9 5 10