Pediatric researchers conducted a medical study to test if honey is a true home remedy as compared to over-the-counter cough syrup. The experiment was performed on 60 children who were suffering from upper respiratory tract infections. The experiment was performed over two days. One the first day, the children were not given any medicine and their parents rated their symptoms at a scale of 0 to 6 (good to worse condition) in 5 different areas described by the researchers, making it a total score of 0 to 30. On the second night, the first group of 20 kids was given a teaspoonful of pure honey, the second group of 20 kids was given an over-the-counter cough syrup and the third group of 20 kids was given a teaspoon of plain water. Again all the parents rated the symptoms of their children on the given score. Based on the data, the researchers presented an improvement score (the higher the better), which is summarized in the table below. The goal of the research was to compare the mean improvement scores of the three

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.3: Measures Of Spread
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Pediatric researchers conducted a medical study to test if honey is a true home remedy as
compared to over-the-counter cough syrup. The experiment was performed on 60 children who
were suffering from upper respiratory tract infections. The experiment was performed over two
days. One the first day, the children were not given any medicine and their parents rated their
symptoms at a scale of 0 to 6 (good to worse condition) in 5 different areas described by the
researchers, making it a total score of 0 to 30. On the second night, the first group of 20 kids was
given a teaspoonful of pure honey, the second group of 20 kids was given an over-the-counter
cough syrup and the third group of 20 kids was given a teaspoon of plain water. Again all the
parents rated the symptoms of their children on the given score. Based on the data, the
researchers presented an improvement score (the higher the better), which is summarized in the
table below. The goal of the research was to compare the mean improvement scores of the three
treatments groups (honey, medicine and water).
• Identify the treatments in the experimental design and justify that this is the problem of
one-way ANOVA.
• Conduct the one-way ANOVA on the data and interpret the results.
Honey Group
Medicine Group 4, 6, 9, 4, 7, 7, 7, 9, 12, 10, 11, 6, 3, 4, 9, 12, 7, 6, 8, 12
Water Group
12, 11, 15, 11, 10, 13, 10, 4, 15, 16, 9, 14, 10, 6, 10, 8, 11, 12, 12, 8
5, 8, 6, 1, 0, 8, 12, 8, 7, 7, 1, 6, 7, 7, 12, 7, 9, 5, 11, 9
Transcribed Image Text:Pediatric researchers conducted a medical study to test if honey is a true home remedy as compared to over-the-counter cough syrup. The experiment was performed on 60 children who were suffering from upper respiratory tract infections. The experiment was performed over two days. One the first day, the children were not given any medicine and their parents rated their symptoms at a scale of 0 to 6 (good to worse condition) in 5 different areas described by the researchers, making it a total score of 0 to 30. On the second night, the first group of 20 kids was given a teaspoonful of pure honey, the second group of 20 kids was given an over-the-counter cough syrup and the third group of 20 kids was given a teaspoon of plain water. Again all the parents rated the symptoms of their children on the given score. Based on the data, the researchers presented an improvement score (the higher the better), which is summarized in the table below. The goal of the research was to compare the mean improvement scores of the three treatments groups (honey, medicine and water). • Identify the treatments in the experimental design and justify that this is the problem of one-way ANOVA. • Conduct the one-way ANOVA on the data and interpret the results. Honey Group Medicine Group 4, 6, 9, 4, 7, 7, 7, 9, 12, 10, 11, 6, 3, 4, 9, 12, 7, 6, 8, 12 Water Group 12, 11, 15, 11, 10, 13, 10, 4, 15, 16, 9, 14, 10, 6, 10, 8, 11, 12, 12, 8 5, 8, 6, 1, 0, 8, 12, 8, 7, 7, 1, 6, 7, 7, 12, 7, 9, 5, 11, 9
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