In: Statistics and Probability
Dust exposure at work. Exposure to dust at work can lead to lung disease later in life. One study compared 115 drill and blast workers with 220 outdoor concreate workers. Total dust exposure was measured in milligram years per cubic meter (mg. y/m3 ). The mean exposure for the drill and blast workers was 18.0 mg. y/m3 with a standard deviation of 7.8 mg. y/m3 . For the outdoor concreate workers, the corresponding values were 6.5 mg. y/m3 and 3.4 mg. y/m3 . a) Use a 95% confidence interval to describe the difference in the exposures. Write a sentence that gives the interval and provides its meaning within the context of the workers. b) If you were to use this confidence interval to test the null hypothesis that the dust exposure is the same for the two occupations, what would be your conclusion and why?