For the time being, the air traffic control system in the United States is run by the federal government. Among the arguments given for the privatization of air traffic control 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 flight delay information from the U.S. and other nations. Suppose that you have in front of you the following chart. This chart 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 is negative.) Groups United States Canada Great Britain Send data to Excel Sample Sample Sample size mean variance 235 17.4 104.1 232 16.5 121.6 231 18.2 101.3 Based on this information, you perform a one-way, independent-samples ANOVA test of the hypothesis that there are no differences in the mean flight delay times among the three countries. (a) The results of this ANOVA test are summarized in the incomplete ANOVA table below. Complete the ANOVA table. (In the table, round your answers for the mean squares and the F statistic to at least two decimal places each.) Source of Degrees of variation Sum of squares Mean square F statistic freedom Treatments (between groups) Error (within groups) Total 0 334.94 ONO 75,748.00 76,082.94 0 0 X 0 (b) What is the p-value corresponding to the F statistic for the ANOVA test? Round your answer to at least three decimal places. 0 X (c) Using the 0.10 level of significance, can you conclude from your ANOVA test that there are differences among the countries in mean flight delay times? OYes 5 Ś @

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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SLICE NAME ANOVA, Chi-square and Nonparametric Tests TOPIC NAME ANOVA: Hypothesis tests and the ANOVA table Make sure correct
For the time being, the air traffic control system in the United States is
run by the federal government. Among the arguments given for the
privatization of air traffic control 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 flight delay information
from the U.S. and other nations.
?
Suppose that you have in front of you the following chart. This chart
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 is negative.)
Groups
United States
Canada
Great Britain
Send data to Excel
Sample Sample Sample
size
mean variance
235
17.4
104.1
232
16.5
121.6
231
101.3
Based on this information, you perform a one-way, independent-samples
ANOVA test of the hypothesis that there are no differences in the mean
flight delay times among the three countries.
18.2
(a) The results of this ANOVA test are summarized in the incomplete
ANOVA table below. Complete the ANOVA table. (In the table,
round your answers for the mean squares and the F statistic to at
least two decimal places each.)
Sum of
squares
Mean square F statistic
Source of Degrees of
variation
freedom
Treatments
(between
groups)
Error
(within
groups)
Total
0
334.94
0 75,748.00
0 76,082.94
0
0
X
0
(b) What is the p-value corresponding to the F statistic for the ANOVA
test? Round your answer to at least three decimal places.
X
(c) Using the 0.10 level of significance, can you conclude from your
ANOVA test that there are differences among the countries in
mean flight delay times?
OYes O No
5
A₁
Transcribed Image Text:For the time being, the air traffic control system in the United States is run by the federal government. Among the arguments given for the privatization of air traffic control 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 flight delay information from the U.S. and other nations. ? Suppose that you have in front of you the following chart. This chart 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 is negative.) Groups United States Canada Great Britain Send data to Excel Sample Sample Sample size mean variance 235 17.4 104.1 232 16.5 121.6 231 101.3 Based on this information, you perform a one-way, independent-samples ANOVA test of the hypothesis that there are no differences in the mean flight delay times among the three countries. 18.2 (a) The results of this ANOVA test are summarized in the incomplete ANOVA table below. Complete the ANOVA table. (In the table, round your answers for the mean squares and the F statistic to at least two decimal places each.) Sum of squares Mean square F statistic Source of Degrees of variation freedom Treatments (between groups) Error (within groups) Total 0 334.94 0 75,748.00 0 76,082.94 0 0 X 0 (b) What is the p-value corresponding to the F statistic for the ANOVA test? Round your answer to at least three decimal places. X (c) Using the 0.10 level of significance, can you conclude from your ANOVA test that there are differences among the countries in mean flight delay times? OYes O No 5 A₁
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