The square footage of the several thousand apartments in a new development is advertised to be 1250 square feet,on average.A tenant group thinks that the apartments are smaller than advertised.They hire an engineer to measure a sample of apartments to test their suspicions.Let $\mu$represent the true average area (in square feet)of these apartments.What are the appropriate null and alternative hypotheses? A)H₀:$\mu$ = 1250 vs.H_a: $\mu$ 1250

Question

The square footage of the several thousand apartments in a new development is advertised to be 1250 square feet,on average.A tenant group thinks that the apartments are smaller than advertised.They hire an engineer to measure a sample of apartments to test their suspicions.Let $\mu$represent the true average area (in square feet)of these apartments.What are the appropriate null and alternative hypotheses? A)H₀:$\mu$ = 1250 vs.H_a: $\mu$< 1250 B)H₀: $\mu$ = 1250 vs.H_a: $\mu$ $\neq$ 1250 C)H₀: $\mu$ = 1250 vs.H_a: $\mu$ > 1250

Quizplus · Accepted Answer

The null hypothesis (H0) is typically a statement of no effect or no difference, so it would state that the true average area of the apartments is equal to the advertised 1250 square feet. The alternative hypothesis (Ha) reflects the tenant group's suspicion that the apartments are smaller than advertised, hence it should state that the true average area is less than 1250 square feet.

The Square Footage of the Several Thousand Apartments in a New