TABLE 12-15
a Perfume Manufacturer Is Trying to Choose

question 29

Short Answer

TABLE 12-15
A perfume manufacturer is trying to choose between 2 magazine advertising layouts. An expensive layout would include a small package of the perfume. A cheaper layout would include a "scratch-and-sniff" sample of the product. The manufacturer would use the more expensive layout only if there is evidence that it would lead to a higher approval rate. The manufacturer presents the more expensive layout to 4 groups and determines the approval rating for each group. He presents the "scratch-and-sniff" layout to 5 groups and again determines the approval rating of the perfume for each group. The data are given below. Use this to test the appropriate hypotheses with the Wilcoxon Rank Sum Test with a level of significance of 0.05.
$$\begin{array}{l}\begin{array} { l l } \text { Package}&\text{ Scratch }\\52 & 37 \\68 & 43 \\43 & 53 \\48 & 39 \\& 47\end{array}\end{array}$$
-Referring to Table 12-15, the rank given to the second observation in the "scratch-and-sniff" group is_____ .

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Definitions:

Friedman Test

A statistical test, not based on parameter estimates, that identifies treatment variances across several trials.

Level Of Significance

The threshold below which a p-value is considered statistically significant in hypothesis testing, often set at 0.05 or 5%.

Random

Characterized by or following no discernible pattern or rule, often used in the context of selecting elements unpredictably.

Weight Gain

The increase in body weight over a period, which can be a result of various factors including diet, exercise, and underlying health conditions.