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Employees were exposed to Compound X, one of the most toxic compounds, in a certain factory. There were 20 employees tested initially. In order to
Employees were exposed to Compound X, one of the most toxic compounds, in a certain factory. There were 20 employees tested initially. In order to assess their safety, the amounts of the compound levels in the plasma and in the fat tissue were studied and are shown below. Employee Compound X level in Plasma Compound X level in Fat Tissue 2.4 4.6 3.1 5.6 3 2.1 4.7 4 3.5 3.5 5 3.2 5.6 6 3.3 4.3 7 1.9 2.3 8 2.0 1.6 3.6 5.4 10 2.5 6.3 11 6.4 7.9 12 5.5 6.1 13 10.3 8.7 14 8.5 6.1 15 2.3 2.4 16 2.1 3.5 17 6.4 5.1 18 2.8 3.0 19 1.7 1.2 20 2.7 3.9 In case that a significant difference between the two means was found, there is sufficient evidence that employees are at risk of death and immediate measures and interventions should be done. Find a 95% confidence interval for the difference of the true mean Compound X levels in the plasma and in the fat tissue, respectively. Assume the distribution of the differences to be approximately normal. What can you conclude about the difference in the mean Compound X levels in the plasma and in the fat tissue of the employees? (Take note that if 0 is included in the interval, then there is no significant difference between the two parameters.)
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