TABLE 12-15
a Perfume Manufacturer Is Trying to Choose Between

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.
$$\begin{array}{l}\begin{array} { l l } \underline{\text { Package}} &\underline{\text { Scratch} }\\52 & 37 \\68 & 43 \\43 & 53 \\48 & 39 \\& 47\end{array}\end{array}$$
-Referring to Table 12-15, which hypotheses should be used?

A) $H_{0}: \mu_{1} \leq \mu_{2}$ versus $H_{1}: \mu_{1}>\mu_{2}$
B) $H_{0}: \mu_{1}=\mu_{2}$ versus $H_{1}: \mu_{1} \neq \mu_{2}$
C) $H_{0}: M_{1}=M_{2}$ versus $H_{1}: M_{1} \neq M_{2}$
D) $H_{0}: M_{1} \leq M_{2}$ versus $H_{1}: M_{1}>M_{2}$