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# use the Kruskal - Wallis test. Triathlon Times Jeff Parent

## Problem 5BSC Chapter 13.5

Elementary Statistics | 12th Edition

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Problem 5BSC

use the Kruskal - Wallis test?. Triathlon Times? Jeff Parent is a statistics instructor who participates in triathlons. Listed below are times (in minutes and seconds) he recorded while riding a bicycle for five laps through each mile of a 3-mile loop. Use a 0.05 significance level to test the claim that the samples are from populations with the same median. What do the data suggest? Mile 1 3:15 3:24 3:23 3:22 3:21 Mile 2 3:19 3:22 3:21 3:17 3:19 Mile 3 3:34 3:31 3:29 3:31 3:29

Step-by-Step Solution:

Solution 5BSC Step 1 Kruskal-Wallis test satisfies the following two requirements. 1. Sample data must be independent and drawn according to simple random sampling. 2. Each sample must contain minimum of five entries. By using the data from exercise, we see that the samples are drawn at random, where the three Mile loop are independent to each other. Hence the first requirement is satisfied. Now, we see that the sample size of Mile 1 is 5, sample size of Mile 2 is 5 and sample size of Mile 3 is 5. Hence the second requirement is satisfied. Therefore, the two requirements of Kruskal-Wallis test are satisfied. Step 2 By using = 0.05 level of significance we need t o test the claim that the samples are from populations with the same median. The Hypotheses can be expressed as H0 The samples are from population with the same median. H1 The samples are from population with the different median. All these three mile with Mile 1, Mile 2, Mile 3 samples are combined together to get a big sample. We first order the absolute values of the difference scores and assign rank from 1 through ‘n’ to the smallest through largest absolute values of the difference scores, and assign the mean rank when there are ties in the absolute values of the difference scores. Mile 1 Mile 2 Mile 3 3:15(1) 3:19(3.5) 3:34(15) 3:24(10) 3:22(7.5) 3:31(13.5) 3:23(7.5) 3:21(5.5) 3:29(11.5) 3:22(7.5) 3:17(2) 3:31(13.5) 3:21(5.5) 3:19(3.5) 3:29(11.5) The smallest value is assigned as the rank 1, here 3:15 is the smallest value and so on up to the largest value 3:34 is assigned as rank 15.

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##### ISBN: 9780321836960

This full solution covers the following key subjects: mile, times, use, test, participates. This expansive textbook survival guide covers 121 chapters, and 3629 solutions. The full step-by-step solution to problem: 5BSC from chapter: 13.5 was answered by , our top Statistics solution expert on 03/15/17, 10:30PM. This textbook survival guide was created for the textbook: Elementary Statistics, edition: 12. Since the solution to 5BSC from 13.5 chapter was answered, more than 581 students have viewed the full step-by-step answer. Elementary Statistics was written by and is associated to the ISBN: 9780321836960. The answer to “use the Kruskal - Wallis test?. Triathlon Times? Jeff Parent is a statistics instructor who participates in triathlons. Listed below are times (in minutes and seconds) he recorded while riding a bicycle for five laps through each mile of a 3-mile loop. Use a 0.05 significance level to test the claim that the samples are from populations with the same median. What do the data suggest? Mile 1 3:15 3:24 3:23 3:22 3:21 Mile 2 3:19 3:22 3:21 3:17 3:19 Mile 3 3:34 3:31 3:29 3:31 3:29” is broken down into a number of easy to follow steps, and 87 words.

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Get Full Access to Elementary Statistics - 12 Edition - Chapter 13.5 - Problem 5bsc

Get Full Access to Elementary Statistics - 12 Edition - Chapter 13.5 - Problem 5bsc