Suppose that we randomly select 50 billing statements from each of the computer databases of the Hotel A, the Hotel B, and the Hotel C chains, and record the nightly room rates. The means and standard...

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Extracted text: Suppose that we randomly select 50 billing statements from each of the computer databases of the Hotel A, the Hotel B, and the Hotel C chains, and record the nightly room rates. The means and standard deviations for the data are given in the table. Hotel A Hotel B Hotel C Sample Average ($) 140 160 125 Sample Standard Deviation 17.1 22.8 12.6 (a) Find a 95% confidence interval for the difference in the average room rates for the Hotel A and the Hotel B chains. (Use Hotel A - Hotel B. Round your answers to two decimal places.) $ -12.10 to $ -27.90