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TABLE 12-14 A Perfume Manufacturer Is Trying to Choose Between 2 Magazine

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TABLE 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. TABLE 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.   -Referring to Table 12-14,the rank given to the last observation in the  scratch-and-sniff  group is ________.
-Referring to Table 12-14,the rank given to the last observation in the "scratch-and-sniff" group is ________.

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Definitions:

Standard Deviation

A measure of the amount of variation or dispersion of a set of values, indicating how much the values in the data set deviate from the mean.

Standard Error

A measure of the standard deviation of the sampling distribution of a statistic, indicating the accuracy with which a sample represents a population.

Standard Deviation

A statistical metric that quantifies the dispersion or spread of a dataset relative to its mean.

Sample Proportion

The fraction or percentage of items in a sample that are part of a particular category or characteristic of interest.

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