Fundamentals of Statistics (5th Edition)
5th Edition
ISBN: 9780134508306
Author: Michael Sullivan III
Publisher: PEARSON
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Chapter B.6, Problem 29AYU
Another E-Cig Study In a study of adult smokers who wanted to quit, 657 subjects were randomly assigned to one of three treatment groups: subjects in Group 1 were given nicotine e-cigarettes, subjects in Group 2 were given nicotine patches, and subjects in Group 3 were given placebo e-cigarettes. The response variable was whether the subject maintained abstinence from cigarettes for six months, verified using exhaled breath carbon monoxide measurement.
- (a) What type of experimental design is this?
- (b) What is the response variable?
- (c) What are the treatments? How many levels does the treatment have?
- (d) Explain why it is not appropriate to use a one-way ANOVA to analyze the effectiveness of e-cigs with nicotine. Suggest an appropriate analysis.
- (e) The results of the study are shown to the right. Using the procedure suggested in part (d), perform the analysis regarding the effectiveness of the treatment. Be sure to state the null and alternative hypotheses.
Source: Bullen, Christopher, The Lancet Volume 382, Issue 9905, 16 Nov 2013 doi:10.1016/S0140-6736(13)61842-5
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A food-frequency questionnaire is used to measure dietary intake. The respondent specifies the number of servings of various food items they consumed over the previous week. The dietary cholesterol is then quantified for each respondent. The researchers were interested in assessing if there was an association between dietary cholesterol intake and high blood pressure. In a large sample of individuals who had completed the questionnaire, 250 persons with a high dietary cholesterol intake (greater than 300 mg /day) were selected and 250 persons with a low dietary cholesterol intake (less than 300 mg/day) were selected. The 500 selected participants had their medical history taken and were classified as having normal or high blood pressure. The data are given here.
Dietary Cholesterol
Blood Pressure
Total
High
Low
High
159
91
250
Low
78
172
250
Total
237
263
500
Test 2: two-tailed test for comparing two independent proportions
Clearly state…
A food-frequency questionnaire is used to measure dietary intake. The respondent specifies the number of servings of various food items they consumed over the previous week. The dietary cholesterol is then quantified for each respondent. The researchers were interested in assessing if there was an association between dietary cholesterol intake and high blood pressure. In a large sample of individuals who had completed the questionnaire, 250 persons with a high dietary cholesterol intake (greater than 300 mg /day) were selected and 250 persons with a low dietary cholesterol intake (less than 300 mg/day) were selected. The 500 selected participants had their medical history taken and were classified as having normal or high blood pressure. The data are given here.
Dietary Cholesterol
Blood Pressure
Total
High
Low
High
159
91
250
Low
78
172
250
Total
237
263
500
Two hypothesis tests can be used to answer this research problem.
Test 1:…
Seattle Grace Medical Center. As part of a long-term study of individuals 65 years of age or older, doctors at the Seattle Grace Medical Center in Washington state investigated the relationship between state of residence and depression. A sample of 60 individuals, all in reasonably good health, was selected; 20 individuals were residents of Texas, 20 were residents of Washington state, and 20 were residents of South Carolina. Each of the individuals sampled was given a standardized test to measure depression. The data collected follow; higher test scores indicate higher levels of depression. These data are contained in the attached data file SeattleGrace1.
A second part of the study considered the relationship between state of residence and depression for individuals 65 years of age or older who had a chronic health condition such as diabetes and/or high blood pressure. A sample of 60 individuals with such conditions was identified. Again, 20 were residents of Texas, 20 were residents…
Chapter B.6 Solutions
Fundamentals of Statistics (5th Edition)
Ch. B.6 - The acronym ANOVA stands for __________ __...Ch. B.6 - True or False: To perform a one-way ANOVA, the...Ch. B.6 - True or False: To perform a one-way ANOVA, the...Ch. B.6 - The variability among the sample means is called...Ch. B.6 - The variability within each treatment group, which...Ch. B.6 - True or False: The F-test statistic is F0=MSTMSE.Ch. B.6 - In Problems 7 and 8, fill in the ANOVA table. 7.Ch. B.6 - In Problems 7 and 8, fill in the ANOVA table. 8.Ch. B.6 - In Problems 9 and 10, determine the F-test...Ch. B.6 - In Problems 9 and 10, determine the F-test...
Ch. B.6 - NW 11. The following data represent a simple...Ch. B.6 - The following data represent a simple random...Ch. B.6 - NW 13. Corn Production The data in the table...Ch. B.6 - Soybean Yield The data in the table represent the...Ch. B.6 - Which Delivery Method Is Best? At a community...Ch. B.6 - Births by Day of Week An obstetrician knew that...Ch. B.6 - Rates of Return A stock analyst wondered whether...Ch. B.6 - Reaction Time In an online psychology experiment...Ch. B.6 - Car-Buying Discrimination To determine if there is...Ch. B.6 - Crash Data The Insurance Institute for Highway...Ch. B.6 - Lower Your Cholesterol Researcher Francisco...Ch. B.6 - pH in Rain An environmentalist wanted to determine...Ch. B.6 - Age and Politics Do peoples political philosophy...Ch. B.6 - Concrete Strength An engineer wants to know if the...Ch. B.6 - Analyzing Journal Article Results Researchers...Ch. B.6 - Prob. 27AYUCh. B.6 - Diversity and pH The following data represent the...Ch. B.6 - Another E-Cig Study In a study of adult smokers...Ch. B.6 - What are the requirements to perform a one-way...Ch. B.6 - What is the mean square due to treatment estimate...Ch. B.6 - Why does a large value of the F statistic provide...Ch. B.6 - In a one-way ANOVA, explain what it means to...
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