The average cost per night of a hotel room in New York City is $278 ( SmartMoney , March 2009). Assume this estimate is based on a sample of 45...

The average cost per night of a hotel room in New York City is $278 (SmartMoney, March 2009). Assume this estimate is based on a sample of 45 hotels and that the sample standard deviation is $55.

a. With 95% confidence, what is the margin of error? Round your answer to the nearest dollar.

b.What is the 95% confidence interval estimate of the population mean? Round your answers to the nearest dollar.