7. In a study of the association between sleep duration and mortality, Xiao et al (Am J
Epidemiol 2014) recruited a large cohort of subjects 51 to 72 years of age, and followed
them over time. Their final analysis cohort consisted of 239,896 subjects. Among the
many covariates they examined was body mass index (BMI), a measure of body size
(measured in kg/m²). Among the 6,054 individuals that reported < 5 hours of sleep per
night, the mean BMI was 28.3 with a standard deviation of 5.6, whereas among the
150,966 individuals that reported 7-8 hours of sleep per night, the mean BMI was 26.5
with a standard deviation of 4.4.
Calculate a 95% confidence interval for the population mean BMI for each of these two
sleep duration groups.