Chronic exposure to asbestos fiber is a well-known health hazard. The article "The Acute Effects of Chrysotile Asbestos Exposure on Lung Function" (Environ. Research, 1978: 360-372) reports results of a study based on a sample of construction workers who had been exposed to asbestos over a prolonged period. Among the data given in the article were the following (ordered) values of pulmonary compliance
(c(m^(3))/(c)mH_(2)O)
for each of 16 subjects 8 months after the exposure period (pulmonary compliance is a measure of lung elasticity, or how effectively the lungs are able to inhale and exhale): \table[[167.9,180.8,184.8,189.8,194.8,200.2],[201.9,206.9,207.2,208.4,226.3,227.7],[228.5,232.4,239.8,258.6,,]] a. Is it plausible that the population distribution is normal? b. Compute a
95%CI
for the true average pulmonary compliance after such exposure. c. Calculate an interval that, with a confidence level of
95%
, includes at least
95%
of the pulmonary compliance values in the population distribution.