The data in the table were collected from randomly selected flights at airports
ID: 3361625 • Letter: T
Question
The data in the table were collected from randomly selected flights at airports in three cities and indicate the number of minutes that each plane was behind schedule at its departure.
alphaequals=0.050.05
alphaequals=0.050.05.
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alphaequals=0.05
City 1
City 2
City 3
11
38
7
18
35
31
24
50
27
8
45
13
14
32
22
a. What are the correct hypotheses for the one-way ANOVA test?
A.
H0:
mu1equals=mu2equals=mu3
H1:
mu1not equalsmu2not equalsmu3
B.
H0:
Not all the means are equal.
H1:
mu1equals=mu2equals=mu3
C.
H0:
mu1equals=mu2equals=mu3
H1:
Not all the means are equal.
D.
H0:
mu1not equalsmu2not equalsmu3
H1:
mu1equals=mu2equals=mu3
Complete the ANOVA summary table:
Determine the P-value:
State the conclusion for alpha=0.05
Since the p value is BLANK than the level of significance, BLANK the null hypothesis and conclude that the average lateness of flights BLANK different for these.
a. Perform a one-way ANOVA usingalphaequals=0.050.05
to determine if there is a difference in the average lateness of flights from these three airports.b. Perform a multiple comparison test to determine which pairs are different usingalphaequals=0.050.05.
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Click the icon to view a studentized range table foralphaequals=0.05
City 1
City 2
City 3
11
38
7
18
35
31
24
50
27
8
45
13
14
32
22
Explanation / Answer
The statistical software output for this problem is:
Analysis of Variance results:
Data stored in separate columns.
Column statistics
ANOVA table
Hence,
a) Hypotheses:
H0: 1 = 2 = 3
H1: Not all the means are equal.
b) p - Value = 0.0008
Since the p value is less than the level of significance, reject the null hypothesis and conclude that the average lateness of flights is different for these.
Column n Mean Std. Dev. Std. Error City 1 5 15 6.244998 2.792848 City 2 5 40 7.3824115 3.3015148 City 3 5 20 9.8994949 4.4271887Related Questions
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