suppose that you are responsible for making arrangements for a business convention and that you have been charged with choosing a city for a convention that has the least expensive hotel rooms. you have narrowed your choices to atlanta and houston. a sample of 35 rooms in atlanta resulted in an average hotel pricing of $105, and a sample of 35 rooms in houston resulted in an average hotel pricing of $94. because considerable data on the prices of rooms in both cities are available, the population standard deviation can be assumed to be $25 in atlanta and $20 in houston. based on the sample data, can you conclude that the mean price of a hotel room in atlanta is higher than one in houston?