16. Hotel Costs, again Suppose that we randomly select 50 billing statements from each of the computer databases of the Marriott, Westin, and Doubletree hotel chains. The means and standard deviations for the data are given in the table:

a. Find a 95% confidence interval for the difference in the average room rates for the Marriott and the Westin hotel chains.

b. Find a 99% confidence interval for the difference in the average room rates for the Westin and the Doubletree hotel chains.

c. Do the intervals in parts a and b contain the value (m 2m )50 1 2 ? Why is this of interest to the researcher?

d. Do the data indicate a difference in the average room rates between the Marriott and the Westin chains?
Between the Westin and the Doubletree chains?

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Marriott Westin Doubletree Sample Average ($) Sample Standard 150 165 125 17.2 22.5 12.8 Deviation