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. Let₁be the population mean of Tuesday,₂be the population mean of Wednesday, and_Dbe 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?

• H₀: _D=0, H_A: _D0
• H₀: ₁- ₂=0, H_A: ₁- ₂0
• H₀: ₁- ₂0, H_A: ₁- ₂<0
• H₀: _D0, H_A: _D<0