Question

a which airline has the higher percentage of on - time flights to the five cities?
b complete the percentage of on - time flights for the two airlines over all five cities.
excelsior airlines has the higher percentage of on - time flights
crew all five cities. excelsior airlines had an on - time percentage of 88.0% and paradise airlines had an on - time percentage of 89.9% (round to the nearest tenth as needed.)

Explanation:

Step1: Calculate on - time flights for Excelsior Airlines

Multiply percentage by number of flights for each city.
For Los Angeles: \(408\times0.884 = 360.672\)
For Phoenix: \(159\times0.971=154.389\)
For San Diego: \(246\times0.944 = 232.224\)
For San Francisco: \(533\times0.883 = 469.639\)
For Seattle: \(2185\times0.865=1899.025\)
Sum them up: \(360.672 + 154.389+232.224 + 469.639+1899.025=3115.949\)

Step2: Calculate on - time flights for Paradise Airlines

Multiply percentage by number of flights for each city.
For Los Angeles: \(728\times0.854 = 621.632\)
For Phoenix: \(5137\times0.927 = 4761.099\)
For San Diego: \(468\times0.838=392.184\)
For San Francisco: \(349\times0.767 = 267.683\)
For Seattle: \(171\times0.718 = 122.778\)
Sum them up: \(621.632+4761.099 + 392.184+267.683+122.778=6165.376\)

Step3: Calculate total flights for each airline

For Excelsior Airlines, total flights \(n_{E}=3531\)
For Paradise Airlines, total flights \(n_{P}=6853\)

Step4: Calculate overall percentage

For Excelsior Airlines: \(\frac{3115.949}{3531}\times100\%\approx88.25\%\)
For Paradise Airlines: \(\frac{6165.376}{6853}\times100\%\approx89.97\%\)

Answer:

Paradise Airlines has a higher percentage of on - time flights.