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 me

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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 21 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.)

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.)

 
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 21 pounds for the summer weights and 24 pounds for the
winter weights.
In USE SALT
(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.)
Ibs
Interpret the interval.
There is a 95% chance that the summer weight (including carry-on luggage) of Frontier Airlines passengers falls directly in the middle of this interval.
We are 95% confident that the true mean summer weight (including carry-on luggage) of Frontier Airlines passengers falls within this interval.
We are 95% confident that the summer weight (including carry-on luggage) of Frontier Airlines passengers falls within this interval.
There is a 95% chance that the true mean summer weight (including carry-on luggage) of Frontier Airlines passengers falls directly in the middle of this interval.
There is a 95% chance that the summer weight (including carry-on luggage) of Frontier Airlines passengers falls within this interval.
(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.)
Ibs
Interpret the interval.
Transcribed Image Text: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 21 pounds for the summer weights and 24 pounds for the winter weights. In USE SALT (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.) Ibs Interpret the interval. There is a 95% chance that the summer weight (including carry-on luggage) of Frontier Airlines passengers falls directly in the middle of this interval. We are 95% confident that the true mean summer weight (including carry-on luggage) of Frontier Airlines passengers falls within this interval. We are 95% confident that the summer weight (including carry-on luggage) of Frontier Airlines passengers falls within this interval. There is a 95% chance that the true mean summer weight (including carry-on luggage) of Frontier Airlines passengers falls directly in the middle of this interval. There is a 95% chance that the summer weight (including carry-on luggage) of Frontier Airlines passengers falls within this interval. (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.) Ibs Interpret the interval.
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