Question

In: Statistics and Probability

Suppose that we randomly select 50 billing statements from each of the computer databases of the...

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 ($) 140 180 120
Sample Standard
Deviation
  17.7   22.6   12.5

(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.)

$______ to $______

(b)Find a 99% confidence interval for the difference in the average room rates for the Hotel B and the Hotel C chains. (Use Hotel B − Hotel C. Round your answers to two decimal places.)

$______ to $______

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