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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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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