A new drug to lower total cholesterol is being tested. A study is designed to evaluate the efficacy of the drug. Sixteen patients agree to participate in the study and each is asked to take the new drug for 4 weeks. Before starting the treatment, each patient's total cholesterol level is measured. After taking the drug for 4 weeks, each patient's total cholesterol level is measured again. The 99% confidence interval for the change in total cholesterol (After less Before) is computed to be (-12.8245 mg/dl, 0.0455mg/dl).
1. Provide an interpretation of the 99% confidence interval for
the population mean difference in total cholesterol levels
associated with taking the new drug for 4 weeks. Select all correct
interpretations.
A. We prove that the population mean difference in
total cholesterol levels (After less Before) for the population of
all patients who took or will take the new drug for 4 weeks is
-6.3895 mg/dl with the 99% margin of error of 6.435 mg/dl.
B. With 99% confidence, we estimate that the
population mean difference in total cholesterol levels (After less
Before) for the population of all patients who took or will take
the new drug for 4 weeks is between -12.8245 mg/dl and 0.0455
mg/dl.
C. If this study was repeated many times, then we
would expect 99% of the resulting 99% confidence intervals to
contain the population mean difference in total cholesterol levels
for the population of all patients who took or will take the new
drug for 4 weeks.
D. We estimate that the population mean difference
in total cholesterol levels (After less Before) for the population
of all patients who took or will take the new drug for 4 weeks is
-6.3895 mg/dl with the 99% margin of error of 6.435 mg/dl.
E. With 99% confidence, we estimate that the
sample mean difference in total cholesterol levels (After less
Before) for the population of all patients who took or will take
the new drug for 4 weeks is between -12.8245 mg/dl and 0.0455
mg/dl.
F. With 99% confidence, we demonstrate that the
population mean difference in total cholesterol levels (After less
Before) for the population of all patients who took or will take
the new drug for 4 weeks is between -12.8245 mg/dl and 0.0455
mg/dl.
G. With 99% confidence, we estimate that in the
population of all patients who took or will take the new drug, the
total cholesterol level for each patient after taking the new drug
for 4 weeks will be is between -12.8245 mg/dl lower and 0.0455
mg/dl higher than before taking the drug, on average.
H. With 99% confidence, we estimate that the
population mean difference in total cholesterol levels (Before less
After) for the population of all patients who took or will take the
new drug for 4 weeks is between -0.0455 mg/dl and 12.8245
mg/dl.
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