International public health practitioners have continuously attempted to point out differences in smoking rates across the globe.Some say that smoking rates do not match up with disease outcomes, i.e.,countries that have the highest rates of smoking do not have the highest rates of outcomes like lung and esophageal cancers. Suppose that a new research team wants to observe the difference in average smoking rates between Americans and French smokers. In order to test the assumption that French smokers smoke less on the average than Americans, the researcher takes a SRS of smokers from each country and compares their basic descriptive statistics for number of cigarettes smoked per day. Assume the following table summarizes the findings. Country Average cigarettes smoked per day Standard deviation Sample size France 8.9 1.4 52 USA 8.7 3.1 46 A) Carry out the appropriate test to answer the research question that supposes that American smokers smoke more cigarettes per day on the average than French smokers. Use an alpha level of 0.05. Do not assume equal variances. Write out your null and alternative hypotheses, and interpret your results. B) Construct a 95% confidence interval for the difference in number of cigarettes smoked per day between the two groups. Provide an interpretation for your interval.

College Algebra
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ISBN:9781337282291
Author:Ron Larson
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Chapter6: Systems Of Equations And Inequalities
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International public health practitioners have continuously attempted to point out differences in smoking rates across the globe.Some say that smoking rates do not match up with disease outcomes, i.e.,countries that have the highest rates of smoking do not have the highest rates of outcomes like lung and esophageal cancers. Suppose that a new research team wants to observe the difference in average smoking rates between Americans and French smokers. In order to test the assumption that French smokers smoke less on the average than Americans, the researcher takes a SRS of smokers from each country and compares their basic descriptive statistics for number of cigarettes smoked per day. Assume the following table summarizes the findings.

Country Average cigarettes smoked per day Standard deviation Sample size
France 8.9 1.4 52
USA 8.7 3.1 46

A) Carry out the appropriate test to answer the research question that supposes that American smokers smoke more cigarettes per day on the average than French smokers. Use an alpha level of 0.05. Do not assume equal variances. Write out your null and alternative hypotheses, and interpret your results.

B) Construct a 95% confidence interval for the difference in number of cigarettes smoked per day between the two groups. Provide an interpretation for your interval.

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