Suppose the true mean increase in BMI among heavy-smoking women 6 years after quitting is 3.0 kg/m2 with a standard deviation of 2.5 kg/m2. The comparable true mean increase in BMI among never-smoking women over 6 years is 1.5 kg/m2 with a standard deviation of 2.0 kg/m2. How much power does the study in Problem 8.144 have of finding a significant difference if a two-sided test is used with a 5% significance level?
Implement the test in Problem 8.143, and report a two-tailed p-value.
What test can be used to assess whether the mean change in BMI over 6 years is different between women who quit smoking and women who have never smoked?
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