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 69 107 95 37 44 33 31 88 53 76 27 41 45 58 A. 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. 1. 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 2. H0: The two populations of flight delays are identical. Ha: The two populations of flight delays are not identical. 3. H0: The two populations of flight delays are not identical. Ha: The two populations of flight delays are identical. 4. 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 5. 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 B. Find the value of the test statistic. W = What is the p-value? (Round your answer to four decimal places.) p-value = C. What is your conclusion? 1. 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. 2. 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. 3. Reject H0. There is sufficient evidence to conclude that there is a significant difference in length of flight delays for these two airports. 4. Reject H0. There is not sufficient evidence to conclude that there is a significant difference in length of flight delays for these two airports.

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 69 107 95 37 44 33 31 88 53 76 27 41 45 58 A. 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. 1. 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 2. H0: The two populations of flight delays are identical. Ha: The two populations of flight delays are not identical. 3. H0: The two populations of flight delays are not identical. Ha: The two populations of flight delays are identical. 4. 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 5. 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 B. Find the value of the test statistic. W = What is the p-value? (Round your answer to four decimal places.) p-value = C. What is your conclusion? 1. 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. 2. 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. 3. Reject H0. There is sufficient evidence to conclude that there is a significant difference in length of flight delays for these two airports. 4. Reject H0. There is not sufficient evidence to conclude that there is a significant difference in length of flight delays for these two airports.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

Airport 1	Airport 2
69	107
95	37
44	33
31	88
53	76
27	41
45	58

A. 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.

1. 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 < 0

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

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

4. 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 > 0

5. 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 = 0

B. Find the value of the test statistic.

W =

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

p-value =

C. What is your conclusion?

1. 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.

2. 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.

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

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

Definition Definition Middle value of a data set. The median divides a data set into two halves, and it also called the 50th percentile. The median is much less affected by outliers and skewed data than the mean. If the number of elements in a dataset is odd, then the middlemost element of the data arranged in ascending or descending order is the median. If the number of elements in the dataset is even, the average of the two central elements of the arranged data is the median of the set. For example, if a dataset has five items—12, 13, 21, 27, 31—the median is the third item in ascending order, or 21. If a dataset has six items—12, 13, 21, 27, 31, 33—the median is the average of the third (21) and fourth (27) items. It is calculated as follows: (21 + 27) / 2 = 24.

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