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
63	108
99	38
41	35
32	86
55	74
28	42
49	56

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 not identical.
H_a: The two populations of flight delays are identical.H₀: The two populations of flight delays are identical.
H_a: The two populations of flight delays are not identical. H₀: Median delay time for airport 1 − Median delay time for airport 2 ≥ 0
H_a: Median delay time for airport 1 − Median delay time for airport 2 < 0H₀: Median delay time for airport 1 − Median delay time for airport 2 ≤ 0
H_a: Median delay time for airport 1 − Median delay time for airport 2 > 0H₀: Median delay time for airport 1 − Median delay time for airport 2 < 0
H_a: Median delay time for airport 1 − Median delay time for airport 2 = 0

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?

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

Expert Solution

orchestra answered 1 year ago

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