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Elementary Statistics | 12th Edition | ISBN: 9780321836960 | Authors: Mario F. Triola
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use the Kruskal - Wallis test. Clancy, Rowling, Tolstoy

Chapter 13, Problem 6BSC

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QUESTION:

use the Kruskal - Wallis test?. Clancy, Rowling, Tolstoy Readability? Pages were randomly selected by the author from ?The Bear and the Dragon? by Tom Clancy, ?Harry Potter and the Sorcerer’s Stone? by J. K. Rowling, and ?War and Peace? by Leo Tolstoy. The Flesch Reading Ease scores are listed on the next page. Use a 0.05 significance level to test die claim that the three samples are from populations with the same median. Do the books appear to have different reading levels of difficulty? Clancy 58.2?73.4?73.1?64.4?72.7?89.2?43.9?76.3?76.4?78.9?69.4?72.9 Rowling? 85.3?84.3?79.5?82.5?80.2?84.6?79.2?70.9?78.6?86.2?74.0?83.7 Tolstoy? 69.4?64.2?71.4?71.6?68.5?51.9?72.2?74.4?52.8?58.4?65.4?73.6

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QUESTION:

use the Kruskal - Wallis test?. Clancy, Rowling, Tolstoy Readability? Pages were randomly selected by the author from ?The Bear and the Dragon? by Tom Clancy, ?Harry Potter and the Sorcerer’s Stone? by J. K. Rowling, and ?War and Peace? by Leo Tolstoy. The Flesch Reading Ease scores are listed on the next page. Use a 0.05 significance level to test die claim that the three samples are from populations with the same median. Do the books appear to have different reading levels of difficulty? Clancy 58.2?73.4?73.1?64.4?72.7?89.2?43.9?76.3?76.4?78.9?69.4?72.9 Rowling? 85.3?84.3?79.5?82.5?80.2?84.6?79.2?70.9?78.6?86.2?74.0?83.7 Tolstoy? 69.4?64.2?71.4?71.6?68.5?51.9?72.2?74.4?52.8?58.4?65.4?73.6

ANSWER:

Solution 6BSC 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 samples are independent to each other. Hence the first requirement is satisfied. Now, we see that the sample size of clancy is 12, sample size of Rowling is 12 and sample size of Tolstoy is 12. Hence the second requirement is satisfied. Therefore, the two requirements of Kruskal-Wallis test are satisfied.

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