TABLE 12-1 A Perfume Manufacturer Is Trying to Choose Between 2 Magazine

question 59

Short Answer

TABLE 12-1
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 both layouts to 5 groups and determines the approval rating from each group on both layouts. The data are given below. Use this to test whether the median difference in approval rating is different from zero in favor of the more expensive layout with a level of significance of 0.05.
-Referring to Table 12-1, what is the value of the test statistic?

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Definitions:

Atomic Sentences

The simplest type of sentences in logic, consisting of a single proposition without any logical connectives or additional propositions.

Atomic Sentences

Basic propositions that express a complete thought without the use of logical operators.

Truth Table

A mathematical table used in logic to determine the truth value of various expressions based on the truth values of their components.

Atomic Sentences

Simple statements containing no logical connectives or only singular terms with a predicate.