For the time being, the air traffic control system in the United States is run by the federal government. Several groups disagree with this and would like to privatize the air traffic control system. Among the arguments given for privatization is that flight delays are much too common in the United States. A first step in deciding if, indeed, delays in the U.S. are "too common" might be to compare the flight delay information from the U.S. and other nations. You have in front of you the following chart, which summarizes the information from three samples of flights from the past six weeks. One of the samples is composed of domestic U.S. flights, one is composed of domestic Canadian flights, and one is composed of domestic British flights. The information record roach flight in the time (in minutes) that the

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For the time being, the air traffic control system in the United States is run
by the federal government. Several groups disagree with this and would
like to privatize the air traffic control system. Among the arguments given
for privatization is that flight delays are much too common in the United
States. A first step in deciding if, indeed, delays in the U.S. are "too
common" might be to compare the flight delay information from the U.S.
and other nations.
You have in front of you the following chart, which summarizes the
information from three samples of flights from the past six weeks. One of
the samples is composed of domestic U.S. flights, one is composed of
domestic Canadian flights, and one is composed of domestic British flights.
The information recorded for each flight is the time (in minutes) that the
plane was late to the arrival gate. (If the plane was early, the time recorded
was negative.)
Sample Sample Sample
size mean variance
215
16.3
95.9
240
17.9
91.4
231
18.5
94.0
Groups
United States
Canada
Great Britain
Send data to calculator
Send data to Excel
You perform a one-way, independent-samples ANOVA test to decide if there
are differences in the mean flight delay times among the three countries.
Such a test uses the following statistic.
F=
Variation between the samples
Variation within the samples
For the flight delay information you've been given F ≈3.06.
(a) Give the p-value corresponding to this value of the
F statistic. Round your answer to at least three
decimal places.
10
(b) Using the 0.05 level of significance, can you
conclude from your ANOVA test that there are
differences in the mean flight delay times among
the three countries?
O Yes O No
?
X
Transcribed Image Text:For the time being, the air traffic control system in the United States is run by the federal government. Several groups disagree with this and would like to privatize the air traffic control system. Among the arguments given for privatization is that flight delays are much too common in the United States. A first step in deciding if, indeed, delays in the U.S. are "too common" might be to compare the flight delay information from the U.S. and other nations. You have in front of you the following chart, which summarizes the information from three samples of flights from the past six weeks. One of the samples is composed of domestic U.S. flights, one is composed of domestic Canadian flights, and one is composed of domestic British flights. The information recorded for each flight is the time (in minutes) that the plane was late to the arrival gate. (If the plane was early, the time recorded was negative.) Sample Sample Sample size mean variance 215 16.3 95.9 240 17.9 91.4 231 18.5 94.0 Groups United States Canada Great Britain Send data to calculator Send data to Excel You perform a one-way, independent-samples ANOVA test to decide if there are differences in the mean flight delay times among the three countries. Such a test uses the following statistic. F= Variation between the samples Variation within the samples For the flight delay information you've been given F ≈3.06. (a) Give the p-value corresponding to this value of the F statistic. Round your answer to at least three decimal places. 10 (b) Using the 0.05 level of significance, can you conclude from your ANOVA test that there are differences in the mean flight delay times among the three countries? O Yes O No ? X
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