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A 7,000-Seat Theater Is Interested in Determining Whether There Is

question 94

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A 7,000-seat theater is interested in determining whether there is a difference in attendance between shows on Tuesday evening and those on Wednesday evening. A random sample of 25 weeks is collected for Tuesday a different sample of 25 weeks is collected for Wednesday. The mean attendance on Tuesday evening is calculated as 5,500, while the mean attendance on Wednesday evening is calculated as 5,850. 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. Let μ1 be the population mean of Tuesday, μ2 be the population mean of Wednesday, and μD be the mean difference for a matched-pairs sampling. What are the appropriate hypotheses to determine whether there is a difference, on average, in attendance between shows on Tuesday evening and Wednesday evening?

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Definitions:

Public Announcement

A statement or declaration made to the general public, often by a company or government entity, regarding important information.

Merger

The combination of two or more companies into a single entity, typically involving the absorption of one by the other.

Securities Act of 1933

A United States federal law enacted as a result of the stock market crash of 1929, requiring that securities sold in the United States be registered and that investors receive significant information about securities being offered.

Due Diligence Defense

A legal defense used in securities law, indicating that the defendants conducted a thorough investigation and did not find any misrepresentations or omissions.

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