[Solution] (DSB). The mean lung capacity for non-smoking males aged 50-59 is 2 liters. An investigator wants to examine if the mean lung capacities are significantly


Question: (DSB). The mean lung capacity for non-smoking males aged 50-59 is 2 liters. An investigator wants to examine if the mean lung capacities are significantly different among former smokers of similar background (i.e., males aged 50-59 who smoked in the past and are not currently smokers). A random sample of 60 former smokers is selected. The following table summarizes the results of the test

Large sample test of \(\mu =2\) versus \(\mu \ne 2\)

X n s se 95% CI z- statistic p -value
1.80 60 0.27 0.03 [ 1.74,1.86] -6.67 0.000
  1. Interpret the results above using the 5% significance level.
  2. What advantage do you see for the confidence interval over the hypothesis test?

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