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this question has part a,b,c, and d
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 ($) 145 165 105 Sample Standard Deviation 17.6 22.8 12.4 (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 $ (c) Do the intervals in parts (a) and (b) contain the value (u, - u,) = 0? O Yes, the interval in part (a) contains (u, - H,) = 0. O Yes, the interval in part (b) contains (u, - u,) = 0. O Yes, both intervals contain (u, - H,) = 0. O No, neither interval contains (u, - u,) = 0. Why is this of interest to the researcher? O If (u, - µ,) = 0 is contained in the confidence interval, it is implied that there is a difference in the average room rates for the two hotels. O If (u, - µ,) = 0 is contained in the confidence interval, it is implied that the average room rate for the two hotels was $0. O If (u, - µz) = 0 is contained in the confidence interval, it is implied that the room rate for one of the hotels was $o. O If (u, - µ,) = 0 is contained in the confidence interval, it is implied that we cannot conclude there is a difference in the average room rates for the two hotels. O If (u, - µ,) = 0 is contained in the confidence interval, it is implied that there was an error in the database records. (d) Do the data indicate a difference in the average room rates between the Hotel A and the Hotel B chains? O Yes, the data indicate a difference in the average room rates between the Hotel A and the Hotel B chains. O No, the data do not indicate a difference in the average room rates between the Hotel A and the Hotel B chains. Do the data indicate a difference in the average room rates between the Hotel B and the Hotel C chains? O Yes, the data indicate a difference in the average room rates between the Hotel B and the Hotel C chains. O No, the data do not indicate a difference in the average room rates between the Hotel B and the Hotel C chains.