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# Solved: Arrival Delay Times Example 2 in this section used

ISBN: 9780321836960 18

## Solution for problem 1 BSC Chapter 13.4

Elementary Statistics | 12th Edition

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Elementary Statistics | 12th Edition

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Problem 1 BSC

Problem 1BSC

Arrival Delay Times Example 2 in this section used samples of departure delay times from American Airlines Flights 19 and 21, but the table below lists simple random samples of arrival delay times (min) from those same flights. (The data are from Data Set 15 in Appendix B.) Are the requirements for using the Wilcoxon rank-sum test satisfied? Why or why not?

Flight 19         -5    -32   -13      -9     -19     49  -30   -23    14    -21   -32    11

Flight 21    -23    28    103    -19    -5     -46    13    -3    13    106   -34   -24

Table 13-1 from the Chapter Problem lists departure delay times (min) for samples from American Airlines Flights 19 and 21. In the Chapter Problem we noted that the parametric t test (Section 9-4) should not be used because the sample data violate this requirement: “The two sample sizes are both large (with n1 > 30 and n2 > 30) or both samples come from populations having normal distributions.” Instead of using the t test, we can use the Wilcoxon rank-sum test. The accompanying STATDISK display results from the data in Table 13-1. We can see that the test statistic is z = −1.44 (rounded). The test statistic does not fall in the critical region bounded by the critical values of −1.96 and 1.96, so we fail to reject the null hypothesis of equal medians. Using the samples in Table 13-1, we do not have enough evidence to conclude that departure delay times for Flight 19 have a median different from the median of departure delay times for Flight 21.

Step-by-Step Solution:
Step 1 of 3

Solution 1BSC

Its given that the given data are the arrival delay times of the American Airlines flights 19 and 21 taken randomly , so the first requirement of the Wilcoxon Rank-Sum test is satisfied. Also each...

Step 2 of 3

Step 3 of 3

##### ISBN: 9780321836960

Since the solution to 1 BSC from 13.4 chapter was answered, more than 255 students have viewed the full step-by-step answer. This textbook survival guide was created for the textbook: Elementary Statistics, edition: 12. The answer to “Arrival Delay Times Example 2 in this section used samples of departure delay times from American Airlines Flights 19 and 21, but the table below lists simple random samples of arrival delay times (min) from those same flights. (The data are from Data Set 15 in Appendix B.) Are the requirements for using the Wilcoxon rank-sum test satisfied? Why or why not?Flight 19 -5 -32 -13 -9 -19 49 -30 -23 14 -21 -32 11Flight 21 -23 28 103 -19 -5 -46 13 -3 13 106 -34 -24Table 13-1 from the Chapter departure delay times (min) for samples from American Airlines Flights 19 and 21. In the Chapter noted that the parametric t test (Section 9-4) should not be used because the sample data violate this requirement: “The two sample sizes are both large (with n1 > 30 and n2 > 30) or both samples come from populations having normal distributions.” Instead of using the t test, we can use the Wilcoxon rank-sum test. The accompanying STATDISK display results from the data in Table 13-1. We can see that the test statistic is z = ?1.44 (rounded). The test statistic does not fall in the critical region bounded by the critical values of ?1.96 and 1.96, so we fail to reject the null hypothesis of equal medians. Using the samples in Table 13-1, we do not have enough evidence to conclude that departure delay times for Flight 19 have a median different from the median of departure delay times for Flight 21.” is broken down into a number of easy to follow steps, and 252 words. This full solution covers the following key subjects: test, times, delay, Samples, Departure. This expansive textbook survival guide covers 121 chapters, and 3629 solutions. Elementary Statistics was written by and is associated to the ISBN: 9780321836960. The full step-by-step solution to problem: 1 BSC from chapter: 13.4 was answered by , our top Statistics solution expert on 03/15/17, 10:30PM.

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