Question

When flights are delayed, do two of the worst airports experience delays of the same length?...

When flights are delayed, do two of the worst airports experience delays of the same length? Suppose the delay times in minutes for seven recent, randomly selected delayed flights departing from each of these airports are as follows.

Airport 1 Airport 2
68 105
96 35
47 33
32 84
53 79
25 42
46 54

Use the MWW test to determine if there is a difference in length of flight delays for these two airports. Use α = 0.05.

State the null and alternative hypotheses.

H0: The two populations of flight delays are identical.
Ha: The two populations of flight delays are not identical.

H0: Median delay time for airport 1 − Median delay time for airport 2 ≤ 0
Ha: Median delay time for airport 1 − Median delay time for airport 2 > 0   

H0: Median delay time for airport 1 − Median delay time for airport 2 ≥ 0
Ha: Median delay time for airport 1 − Median delay time for airport 2 < 0

H0: Median delay time for airport 1 − Median delay time for airport 2 < 0
Ha: Median delay time for airport 1 − Median delay time for airport 2 = 0

H0: The two populations of flight delays are not identical.
Ha: The two populations of flight delays are identical.

Find the value of the test statistic.

W =

What is the p-value? (Round your answer to four decimal places.)

p-value =

What is your conclusion?

Reject H0. There is sufficient evidence to conclude that there is a significant difference in length of flight delays for these two airports.

Reject H0. There is not sufficient evidence to conclude that there is a significant difference in length of flight delays for these two airports.   

Do not reject H0. There is sufficient evidence to conclude that there is a significant difference in length of flight delays for these two airports.

Do not reject H0. There is not sufficient evidence to conclude that there is a significant difference in length of flight delays for these two airports.

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

H0: The two populations of flight delays are identical.
Ha: The two populations of flight delays are not identical

sample size n1 group 1 7
sample size n2 group 2 7
Rank sum (R1)= group 1 47
Rank sum (R2)= group 2 58
test statistic W=R1= 47
sample mean = μ=n1(n1+n2+1)/2= 52.5
Variance= σ2=n1n2(n1+n2+1)/12= 61.25
standard deviation= σ = 7.83
test stat z= Z=(U-μ)/σ = -0.64
p value    = 0.5222

Do not reject H0. There is not sufficient evidence to conclude that there is a significant difference in length of flight delays for these two airports

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