There have been complaints recently from homeowners in the north end claiming that their homes have been assessed at values that are too high compared with other parts of town.They say that the mean increase from last year to this year has been higher in their part of town than elsewhere.To test this,the assessor's office staff plans to select a random sample of north end properties (group 1)and a random sample of properties from other areas within the city (group 2)and perform a hypothesis test.Based on the information provided,the research (or alternate)hypothesis is: A)μ₁ = μ₂ B)μ₁≠ μ₂ C)μ₁ μ₂ D)μ₁

Question

There have been complaints recently from homeowners in the north end claiming that their homes have been assessed at values that are too high compared with other parts of town.They say that the mean increase from last year to this year has been higher in their part of town than elsewhere.To test this,the assessor's office staff plans to select a random sample of north end properties (group 1)and a random sample of properties from other areas within the city (group 2)and perform a hypothesis test.Based on the information provided,the research (or alternate)hypothesis is: A)μ₁ = μ₂ B)μ₁≠ μ₂ C)μ₁ > μ₂ D)μ₁ < μ₂

Quizplus · Accepted Answer

The research (or alternate) hypothesis should be in line with the complaint of homeowners in the north end, which is that their homes have been assessed at higher values compared to other parts of town. Therefore, the appropriate hypothesis for this scenario would be one-tailed, stating that the mean increase in assessed values in the north end is greater than the mean increase in other areas of the city. Hence, option C is the best choice as it represents the research hypothesis that μ₁ > μ₂, where μ₁ refers to the mean assessed value increase in the north end, and μ₂ refers to the mean assessed value increase in other areas of the city.

There Have Been Complaints Recently from Homeowners in the North