Question

a pharmaceutical company is running tests to see how well its new drug lowers cholesterol. fourteen adults volunteer to participate in the study. the total cholesterol level of each participant (in mg/dl) is recorded once at the start of the study and then again after three months of taking the drug. the results are given in the following table. construct a 90% confidence interval for the true mean difference between the cholesterol levels for people who take the new drug. let population 1 be the initial cholesterol level and population 2 be the cholesterol level after three months. round the endpoints of the interval to one decimal place, if necessary.

total cholesterol levels (in mg/dl)
\

$$\begin{tabular}{|c|c|} \\hline initial level & level after three months \\\\ \\hline 196 & 205 \\\\ \\hline 201 & 217 \\\\ \\hline 186 & 205 \\\\ \\hline 209 & 202 \\\\ \\hline 213 & 216 \\\\ \\hline 181 & 215 \\\\ \\hline 221 & 213 \\\\ \\hline 192 & 215 \\\\ \\hline 198 & 220 \\\\ \\hline 218 & 211 \\\\ \\hline 182 & 214 \\\\ \\hline 198 & 213 \\\\ \\hline 183 & 218 \\\\ \\hline 202 & 192 \\\\ \\hline \\end{tabular}$$

lower endpoint =
upper endpoint =

Explanation:

Calculate paired differences

$$
LATEXBLOCK0
$$

Compute sample statistics

$$
LATEXBLOCK1
$$

Calculate confidence interval

$$
LATEXBLOCK2
$$

Answer:

Lower Endpoint = -20.0
Upper Endpoint = -5.2