A survey of hotels found that the average hotel roomrate in New Orleans is $88.4

A survey of hotels found that the average hotel roomrate in New Orleans is $88.42 and the average room rate in Phoenixis $80.61. The survey sampled 50 hotels in each city. The standarddeviations were $5.62 and $4.83 respectively. At alpha=.05 it canbe concluded that there is a significant different in therates?