Even within a particular chain of hotels, lodging during the summer months can vary substantially depending on the type of room and the amenities offered. We randomly selected 50 billing statements from the computer databases of the Marriott, Westin, and Doubletree hotel chains, and recorded the nightly room rates. The table below shows the sample data collected to compare the average room rates at the 1ii'ilestin and Doubletree hotel chains. West] n Dou bletree Sample Average (5) 165 125 Sample Standard Deviation 22.6 12.4 (a) Do the data provide sufcient evidence to indicate a difference in the average room rates for the Westin and the Doubletree hotel chains? Use a = (1.05. State the null and alternative hypothesis. (Use 11w for the 1ii'ilestin hotel and Use mg for the Doubletree hotel.) E") Ho=U1w -l-lo) =Uver5u=iHa= 01w -#ol a 0 0 Ho: (.Uw -l-lo) =Uver5usHa= 01w -#ol*0 0 Ho: (#w -#o) =0versusHa= {#w '11le 0 0 Ho: (#w -#o)