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Suppose that you are responsible for making arrangements for a business convention and that you have been charged with choosing a city for the convention that has the least expensive hotel rooms. You have narrowed your choices to Atlanta and Houston. The table below contains samples of prices for rooms in Atlanta and Houston that are consistent with a SmartMoney survey conducted by Smith Travel Research. Because considerable historical data on the prices of rooms in both cities are available, the population standard deviations for the prices can be assumed to be $36 in Atlanta and $28 in Houston. Atlanta Houston Atlanta Houston Atlanta Houston Atlanta Houston 105 145 80 140 75 150 105 65 75 110 60 75 90 75 100 125 65 105 120 55 115 140 70 110 65 125 115 135 100 105 115 115 105 115 80 60 60 130 125 95 65 145 65 95 110 65 85 75 125 110 100 90 55 110 90 55 120 105 110 105 80 60 130 80 120 115 125 95 65 90 80 120 70 145 140 Based on the sample data, can you conclude that the mean price of a hotel room in Atlanta is lower than one in Houston? Use a = 0.05 and null hypothesis is Ho : HA - HB 2 0. Enter negative values as negative numbers. z value (to 2 decimals) p-value (to 4 decimals) We - Select your answer - that the mean price of a hotel room in Atlanta is lower than the mean price of a hotel room in Houston