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In: Statistics and Probability

In a study of smoking and its effects on sleep patterns, one variable is the time...

In a study of smoking and its effects on sleep patterns, one variable is the time that it takes to fall asleep. A random sample of size 12 is drawn from the population of smokers; an independent sample of size 15 is drawn from the population of non-smokers. The mean time to sleep for smokers is 43.70 minutes; for non-smokers it is 30.32 minutes. The sample variance for the time to sleep for smokers is 286.549 min2  while for non-smokers it is 50.806 min2 .

Find a 95% confidence interval to determine if these data indicate that smokers tend to take longer to fall asleep than non-smokers. (Hint: Degrees of freedom formula yields df = 14.2)

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