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use the Kruskal - Wallis test.Clancy, Rowling, Tolstoy

Elementary Statistics | 12th Edition | ISBN: 9780321836960 | Authors: Mario F. Triola ISBN: 9780321836960 18

Solution for problem 6 BSC Chapter 13.5

Elementary Statistics | 12th Edition

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Elementary Statistics | 12th Edition | ISBN: 9780321836960 | Authors: Mario F. Triola

Elementary Statistics | 12th Edition

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Problem 6 BSC

Problem 6BSC

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

Step-by-Step Solution:
Step 1 of 3

Solution 6BSC

The value of the test statics is,

Since each sample has 12 observations, the distribution of H is approximately a chi-square distribution with k -1 degrees of freedom. The number of samples is k = 3, thus there are 2 degrees of freedom for H.

Now from the table A-4 the critical value is found corresponding to 2 degrees of freedom at 0.05 level of significance as 5.991. As the value of the test statistic falls in the critical region as seen from the figure.

Step 2 of 3

Chapter 13.5, Problem 6 BSC is Solved
Step 3 of 3

Textbook: Elementary Statistics
Edition: 12
Author: Mario F. Triola
ISBN: 9780321836960

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use the Kruskal - Wallis test.Clancy, Rowling, Tolstoy

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