9.27 Hotel Costs || Refer to Exercise 9.26. The table below shows the sample data collected to compare the average room rates at the Westin and Doubletree hotel chains." 

a. Do the data provide sufficient evidence to indicate a difference in the average room rates for the Westin and the Doubletree hotel chains? Use a = .05.

b. Construct a 95% confidence interval for the differ- ence in the average room rates for the two chains. Does this interval confirm your conclusions in part a?

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Westin Doubletree Sample Average ($) 165 125 Sample Standard Deviation ($) 22.5 12.8