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. 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.)
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.
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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