Exposure to dust at work can lead to lung disease later in life. One study measured the workplace exposure of tunnel construction workers. Part of the study compared 115 drill and blast workers with 220 outdoor concrete 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 concrete workers, the corresponding values were 6.5 and 3.4 mg * y/m³, respectively. a. The sample included all workers for a tunnel construction company who received medical examinations as part of routine health checkups. Discuss the extent to which you think these results apply to other similar types of workers. b. Use a 95% confidence interval to describe the difference in the exposures (software gives k = 137.07 and t* = 1.977). Write a sentence that gives the interval and provides the mean- ing of 95% confidence. %3= c. Test the null hypothesis that the exposures for these two types of workers are the same. Justify your choice of a one-sided or two-sided alternative. Report the test statistic, the degrees of freedom, and the P-value. Give a short summary of your conclusion.
Exposure to dust at work can lead to lung disease later in life. One study measured the workplace exposure of tunnel construction workers. Part of the study compared 115 drill and blast workers with 220 outdoor concrete 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 concrete workers, the corresponding values were 6.5 and 3.4 mg * y/m³, respectively. a. The sample included all workers for a tunnel construction company who received medical examinations as part of routine health checkups. Discuss the extent to which you think these results apply to other similar types of workers. b. Use a 95% confidence interval to describe the difference in the exposures (software gives k = 137.07 and t* = 1.977). Write a sentence that gives the interval and provides the mean- ing of 95% confidence. %3= c. Test the null hypothesis that the exposures for these two types of workers are the same. Justify your choice of a one-sided or two-sided alternative. Report the test statistic, the degrees of freedom, and the P-value. Give a short summary of your conclusion.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:Exposure to dust at work can lead to lung disease later in life. One study measured the
workplace exposure of tunnel construction workers. Part of the study compared 115 drill
and blast workers with 220 outdoor concrete 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
concrete workers, the corresponding values were 6.5 and 3.4 mg * y/m³, respectively.
a. The sample included all workers for a tunnel construction company who received medical
examinations as part of routine health checkups. Discuss the extent to which you think these
results apply to other similar types of workers.
b. Use a 95% confidence interval to describe the difference in the exposures (software gives
k = 137.07 and t* = 1.977). Write a sentence that gives the interval and provides the mean-
ing of 95% confidence.
c. Test the null hypothesis that the exposures for these two types of workers are the same.
Justify your choice of a one-sided or two-sided alternative. Report the test statistic, the
degrees of freedom, and the P-value. Give a short summary of your conclusion.
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