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

question 94

Multiple Choice

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 μ_D 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?

• A) H₀: µ_D ≥ 0, H_A: µ_D < 0
• B) H₀: µ_D = 0, H_A: µ_D ≠ 0
• C) H₀: µ₁ - µ₂ = 0, H_A: µ₁ - µ₂ ≠ 0
• D) H₀: µ₁ - µ₂ ≥ 0, H_A: µ₁ - µ₂ < 0

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Definitions:

UCS

An abbreviation for Unconditioned Stimulus, a stimulus that naturally and automatically triggers a response without any prior conditioning in behavioral psychology.

Advertising Wearout

The decline in audience response or engagement with an advertisement over time, often due to overexposure or failure to refresh content.

Presentation

The act of showing or displaying information or a product to an audience in a structured manner for understanding or consumption.

Ad

Short for advertisement, a promotional message or material designed to attract interest in a product, service, or event.