3 ... ..***Because of safety considerations, in May 2003 the Federal Aviation Administration (FAA) changed its guidelines for how small commuter airlines must estimate passengerweights. 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 coldmonths.A journal reported that an airline conducted a study to estimate average passenger plus carry-on weights. They found an average summer weight of 183 pounds and a winteraverage of 190 pounds. Suppose that each of these estimates was based on a random sample of 100 passengers and that the sample standard deviations were 16 pounds forthe summer weights and 22 pounds for the winter weights.A USE SALT(a) Construct a 95% confidence interval for the mean summer weight (including carry-on luggage) of this airline's passengers. (Use technology to calculate the critical value.Round your answers to three decimal places.)Interpret a 95% confidence interval for the mean summer weight (including carry-on luggage) of this airline's passengers.O There is a 95% chance that the true mean summer weight (including carry-on luggage) of this airline's passengers is between these two values.O There is a 95% chance that the true mean summer weight (including carry-on luggage) of this airline's passengers is one of these two values.O There is a 95% chance that the true mean summer weight (including carry-on luggage) of this airline's passengers is directly in the middle of these two values.O We are 95% confident that the true mean summer weight (including carry-on luggage) of this airline's passengers is between these two values.O We are 95% confident that the true mean summer weight (including carry-on luggage) of this airline's passengers is directly in the middle of these two values.(b) Construct a 95% confidence interval for the mean winter weight (including carry-on luggage) of this airline's passengers. (Use technology to calculate the critical value.Round your answers to three decimal places.)Interpret a 95% confidence interval for the mean winter weight (including carry-on luggage) of this airline's passengers.10:28 PM IS a S570CITance tTGL Lne true mean summer weignL cidany Cany-onTuggage) oI tIs a Ie s passenngo urectry mOO We are 95% confident that the true mean summer weight (including carry-on luggage) of this airline's passengers is between these two values.O We are 95% confident that the true mean summer weight (including carry-on luggage) of this airline's passengers is directly in the middle of these two values.(b) Construct a 95% confidence interval for the mean winter weight (including carry-on luggage) of this airline's passengers. (Use technology to calculate the critical value.Round your answers to three decimal places.)Interpret a 95% confidence interval for the mean winter weight (including carry-on luggage) of this airline's passengers.O We are 95% confident that the true mean winter weight (including carry-on luggage) of this airline's passengers is between these two values.O There is a 95% chance that the true mean winter weight (including carry-on luggage) of this airline's passengers is between these two values.O We are 95% confident that the true mean winter weight (including carry-on luggage) of this airline's passengers is directly in the middle of these two values.O There is a 95% chance that the true mean winter weight (including carry-on luggage) of this airline's passengers is one of these two values.O There is a 95% chance that the true mean winter weight (including carry-on luggage) of this airline's passengers is directly in the middle of these two values.(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 estimatesfrom part (a) and part (b).O These new FAA recommendations seem accurate, since both recommendation values are contained within their respective 95% confidence interval.O Only the new summer FAA recommendation seems accurate, since only the new summer recommendation value is contained within its 95% confidence interval.O Only the new winter FAA recommendation seems accurate, since only the new winter recommendation value is contained within its 95% confidence interval.O These new FAA recommendations don't seem accurate, since neither recommendation value is contained within its respective 95% confidence interval.Submit Answer

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