Solution Found!
use the Kruskal - Wallis test.Clancy, Rowling, Tolstoy
Chapter 13, Problem 6 BSC(choose chapter or problem)
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
Questions & Answers
QUESTION:
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
ANSWER:
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 -