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# use the Wilcoxon rank-sum test. Taxi-Out Times Listed ISBN: 9780321836960 18

## Solution for problem 6BSC Chapter 13.4

Elementary Statistics | 12th Edition

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Problem 6BSC

use the Wilcoxon rank-sum test. Taxi-Out Times ?Listed below are samples of taxi-out times (min) for American Airlines Flights 19 and 21 (from Data Set 15 in Appendix B). Use the sample data to test the claim that taxi-out times for Flight 19 and Flight 21 have the same median. Use a 0.05 significance level. Flight 19 15 12 19 18 21 20 13 15 43 18 17 19 Flight 21 13 20 12 17 35 19 22 43 49 45 13 23

Step-by-Step Solution:

Solution 6BSC Step 1 : Given, In the above example the data consists of the taxi-out times of American Airlines Flights 19 and 21 taken randomly, so the observations from the same population. Hence first requirement of the Wilcoxon Rank-Sum test satisfied. Each samples contains 12 values in each taxi-out times, it satisfies the second condition that the each sample should have the same median. Therefore, both the requirements of the Wilcoxon Sum-Rank test satisfies. Hypothesis : H :0The median of the taxi-out times of flight 19 is equal to the median of the taxi-out times of flight 21. H :1The median of the taxi-out times of flight 19 is not equal to the median of the taxi-out times of flight 21. Step 2 : We have 24 observations from Flight 19 and 21. Based on the values we give ranks, if it is least value is 12 which appears twice so its rank is equal to the mean of 1 and 2, i.e, 1.5. If there is a tie then mean of the values is the rank, for example the rank of 5 is 2.5. Highest value is 49 which is assigned the rank 24. Ranks for the taxi-out times of flight 19 are 6.5, 1.5, 13, 10.5, 17, 15.5, 4, 6.5, 21.5, 10.5, 8.5, 13. The sum of the ranks for taxi-out times of flight 19 = 128.

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##### ISBN: 9780321836960

Since the solution to 6BSC from 13.4 chapter was answered, more than 295 students have viewed the full step-by-step answer. This textbook survival guide was created for the textbook: Elementary Statistics, edition: 12. Elementary Statistics was written by and is associated to the ISBN: 9780321836960. This full solution covers the following key subjects: Flight, times, use, taxi, test. This expansive textbook survival guide covers 121 chapters, and 3629 solutions. The full step-by-step solution to problem: 6BSC from chapter: 13.4 was answered by , our top Statistics solution expert on 03/15/17, 10:30PM. The answer to “use the Wilcoxon rank-sum test. Taxi-Out Times ?Listed below are samples of taxi-out times (min) for American Airlines Flights 19 and 21 (from Data Set 15 in Appendix B). Use the sample data to test the claim that taxi-out times for Flight 19 and Flight 21 have the same median. Use a 0.05 significance level. Flight 19 15 12 19 18 21 20 13 15 43 18 17 19 Flight 21 13 20 12 17 35 19 22 43 49 45 13 23” is broken down into a number of easy to follow steps, and 83 words.

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