Exhibit 10

question 8

Multiple Choice

Exhibit 10.4.A 7000-seat theater is interested in determining whether there is a difference in attendance between shows on Tuesday evening and those on Wednesday evening.Two independent samples of 25 weeks are collected for Tuesday and Wednesday.The mean attendance on Tuesday evening is calculated as 5500,while the mean attendance on Wednesday evening is calculated as 5850.The known population standard deviation for attendance on Tuesday evening is 550 and the known population standard deviation for attendance on Wednesday evening is 445. Refer to Exhibit 10.4.What is the appropriate decision given a 5% level of significance?

• A)Conclude that the mean attendance differs since the p-value = 0.0067 < 0.05.
• B)Conclude that the mean attendance differs since the p-value = 0.0134 < 0.05.
• C)Do not conclude that the mean attendance differs since the p-value = 0.0067 < 0.05.
• D)Do not conclude that the mean attendance differs since the p-value = 0.0134 < 0.05.

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Definitions:

Universal Generalization

A logical principle stating that what is true for all instances within a certain category can be applied generally to the entire category.

Quantifier Negation

The process of applying negation to a quantified statement, which involves changing the quantifier ("for all" to "there exists") and negating the predicate.

Existential Generalization

A logical operation that infers a general statement about the existence of something, based on particular instances or evidence.

Existential Instantiation

A logical process in formal argumentation where an existential quantifier (e.g., "there exists") leads to the establishment of an instance of its subject.