A group of six individuals with high cholesterol levels were given a new diet designed to lower cholesterol levels. Cholesterol levels, in milligrams per deciliter, were measured before and after the implementation of the diet for each individual, with the following results:
$\begin{array} { c c c }
\hline \text { Individual } & \text { Before } & \text { After } \
\hline 1 & 254 & 199 \
2 & 246 & 201 \
3 & 225 & 195 \
4 & 216 & 208 \
5 & 205 & 184 \
6 & 228 & 203
\end{array}$
Find the 95% confidence interval for the mean reduction in cholesterol level.
A)(12.87, 48.46)
B)(11.09, 9.85)
C)(11.98, 50.24)
D)(9.85, 51.49)

Question

A group of six individuals with high cholesterol levels were given a new diet designed to lower cholesterol levels. Cholesterol levels, in milligrams per deciliter, were measured before and after the implementation of the diet for each individual, with the following results:
 $\begin{array} { c c c } 
\hline \text { Individual } & \text { Before } & \text { After } \
\hline 1 & 254 & 199 \
2 & 246 & 201 \
3 & 225 & 195 \
4 & 216 & 208 \
5 & 205 & 184 \
6 & 228 & 203
\end{array}$
Find the 95% confidence interval for the mean reduction in cholesterol level.
A)(12.87, 48.46)
B)(11.09, 9.85)
C)(11.98, 50.24)
D)(9.85, 51.49)

Quizplus · Accepted Answer

The mean reduction in cholesterol level can be calculated by first finding the difference in cholesterol levels before and after the diet for each individual, then calculating the mean of these differences. The 95% confidence interval can then be calculated using the appropriate statistical methods, which in this case, results in the interval (12.87, 48.46).

A Group of Six Individuals with High Cholesterol Levels Were