You want to rent an unfurnished one-bedroom apartment in Boston next year. The mean monthly rent for a simple random sample of 32 apartments advertised in the local newspaper is $1,400 with a margin of error of ± $39. a. Find a 95% confidence interval for the mean monthly rent for unfurnished one-bedroom apartments available for rent in this community.

b. Would listing your one-bedroom apartment in Boston for $1500 be an unfair price? Use your confidence interval to support your answer.