SCENARIO 12-14
a Perfume Manufacturer Is Trying to Choose Between $\begin{array}{cc} \underline{\text { Package}}& \underline{\text { Scratch} }\\ 52 & 37 \\68 & 43 \\43 & 53 \\48 & 39 \\& 47\end{array}$

Short Answer

SCENARIO 12-14
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. $\begin{array}{cc} \underline{\text { Package}}& \underline{\text { Scratch} }\\ 52 & 37 \\68 & 43 \\43 & 53 \\48 & 39 \\& 47\end{array}$
-Referring to Scenario 12-14, the hypotheses that should be used are: a) $H _ { 0 } : \mu _ { 1 } = \mu _ { 2 }$ versus $H _ { 1 } : \mu _ { 1 } \neq \mu _ { 2 }$
b) $H _ { 0 } : \mu _ { 1 } \leq \mu _ { 2 }$ versus $H _ { 1 } : \mu _ { 1 } > \mu _ { 2 }$
c) $H _ { 0 } : M _ { 1 } = M _ { 2 }$ versus $H _ { 1 } : M _ { 1 } \neq M _ { 2 }$
d) $H _ { 0 } : M _ { 1 } \leq M _ { 2 }$ versus $H _ { 1 } : M _ { 1 } > M _ { 2 }$