Solution Found!
use the Kruskal - Wallis test. Triathlon Times Jeff Parent
Chapter 13, Problem 5BSC(choose chapter or problem)
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
Questions & Answers
QUESTION:
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
ANSWER: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.