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

question 49

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.Two independent samples of 25 weeks are collected for Tuesday and 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.What are the appropriate hypotheses to determine whether there is a difference in attendance for shows on Tuesday evening and Wednesday evening? Use Tuesday attendance as population 1 mean μ₁ and Wednesday attendance as population 2 mean μ₂,or μ_D as the mean difference in matched-pairs sampling.

• 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

---

Definitions:

Tonotopic Map

The organization of different frequencies of sounds within the auditory system, particularly the cochlea and auditory cortex.

Basilar Membrane

A structure in the cochlea of the inner ear that plays a key role in the sense of hearing by vibrating in response to sound.

Sound Wave

A type of pressure wave generated by vibrating objects, traveling through a medium like air or water and capable of being heard when they reach a sentient being's ear.

Cochlea

A spiral-shaped cavity in the inner ear that plays a crucial role in the sense of hearing by converting sound vibrations into nerve impulses.