ו Jne ui the samples is composed of domestic U.S. flights, one is comp lomestic British flights. The information recorded for each flight is the he plane was early, the time recorded was negative.) Sample Sample Sample Groups size mean variance United States 210 18.5 97.3 Canada 234 19.3 97.1 Great Britain 226 16.6 95.0 Send data to calculator Du perform a one-way, independent-samples ANOVA test to decide if nree countries. Such a test uses the following statistic. Variation between the samples F= Variation within the samples or the flight delay information you've been given F 4.55. (a) Give the numerator degrees of freedom of this F statistic.

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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
variance
Groups
size
mean
United States
210
18.5
97.3
Canada
234
19.3
97.1
Great Britain
226
16.6
95.0
Send data to calculator
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.
Variation between the samples
F=
Variation within the samples
For the flight delay information you've been given F 24.55.
(a) Give the numerator degrees of freedom of this F
statistic.
(b) Give the denominator degrees of freedom of this F
statistic.
(c) Using the 0.01 level of significance, can you
conclude from your AÑOVA test that there are
differences in the mean flight delay times among
O Yes
O No
the three countries?
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 variance Groups size mean United States 210 18.5 97.3 Canada 234 19.3 97.1 Great Britain 226 16.6 95.0 Send data to calculator 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. Variation between the samples F= Variation within the samples For the flight delay information you've been given F 24.55. (a) Give the numerator degrees of freedom of this F statistic. (b) Give the denominator degrees of freedom of this F statistic. (c) Using the 0.01 level of significance, can you conclude from your AÑOVA test that there are differences in the mean flight delay times among O Yes O No the three countries?
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