Because of safety considerations, in May 2003, the Federal Aviation Administration (FAA) changed its guidelines for how small commuter airlines must estimate passenger weights. Under the old rule, airlines used 180 pounds as a typical passenger weight (including carry-on luggage) in warm months and 185 pounds as a typical weight in cold months. The Alaska Journal of Commerce (May 25, 2003) reported that Frontier Airlines conducted a study to estimate mean passenger plus carry-on weights. They found a sample mean summer weight of 183 pounds and a winter sample mean of 190 pounds. Suppose that these estimates were based on random samples of 100 passengers and that the sample standard deviations were 20 pounds for the summer weights and 24 pounds for the winter weights. a) Construct a 95% confidence interval (in pounds) for the population mean summer weight (including carry-on luggage) of Frontier Airlines passengers. (Round your answers to three decimal places.) , lbs b) Construct a 95% confidence interval (in pounds) for the population mean winter weight (including carry-on luggage) of Frontier Airlines passengers. (Round your answers to three decimal places.) , lbs (c) The new FAA recommendations are 190 pounds for summer and 195 pounds for winter. Comment on these recommendations in light of the confidence interval estimates from parts (a) and (b). Based on the winter confidence interval, it is likely that Frontier Airlines meet the new FAA recommendations for winter as the FAA recommendations are of the confidence interval. Based on the summer confidence interval, it is likely that Frontier Airlines meet the new FAA recommendations for summer as the FAA recommendations are of the confidence interval.

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Description: Because of safety considerations, in May 2003, the Federal Aviation Administration (FAA) changed its guidelines for how small commuter airlines must estimate passenger weights. Under the old rule, airlines used 180 pounds as a typical passenger weigh

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 30PPS

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Because of safety considerations, in May 2003, the Federal Aviation Administration (FAA) changed its guidelines for how small commuter airlines must estimate passenger weights. Under the old rule, airlines used 180 pounds as a typical passenger weight (including carry-on luggage) in warm months and 185 pounds as a typical weight in cold months. The Alaska Journal of Commerce (May 25, 2003) reported that Frontier Airlines conducted a study to estimate mean passenger plus carry-on weights. They found a sample mean summer weight of 183 pounds and a winter sample mean of 190 pounds. Suppose that these estimates were based on random samples of 100 passengers and that the sample standard deviations were 20 pounds for the summer weights and 24 pounds for the winter weights.

Construct a 95% confidence interval (in pounds) for the population mean summer weight (including carry-on luggage) of Frontier Airlines passengers. (Round your answers to three decimal places.)

lbs

Construct a 95% confidence interval (in pounds) for the population mean winter weight (including carry-on luggage) of Frontier Airlines passengers. (Round your answers to three decimal places.)

lbs

(c)

The new FAA recommendations are 190 pounds for summer and 195 pounds for winter. Comment on these recommendations in light of the confidence interval estimates from parts (a) and (b).

Based on the winter confidence interval, it is likely that Frontier Airlines meet the new FAA recommendations for winter as the FAA recommendations are of the confidence interval. Based on the summer confidence interval, it is likely that Frontier Airlines meet the new FAA recommendations for summer as the FAA recommendations are of the confidence interval.

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