In: Statistics and Probability
Similar to the study described on Handout 11, investigators recorded PWV, a measure of vascular stiffness, in 18 children diagnosed with progeria. The objective was to test the effectiveness of the drug lonafarnib. PWV was measured on the 18 children before taking the drug, then re-measured on the same children after receiving a daily dose of the drug for two years. Please see HW3b data, where “untreated” = before taking the drug, and “treated” = after taking the drug for two years.
untreated | treated |
18.8 | 12.6 |
17.6 | 10.8 |
17.5 | 10.1 |
16 | 10.1 |
14.8 | 9.2 |
14.1 | 7.6 |
13.7 | 10.8 |
13.1 | 7.7 |
12.9 | 6.8 |
12.9 | 7.5 |
12.4 | 9.4 |
10.1 | 6.4 |
9.3 | 9 |
9.1 | 6.2 |
8.3 | 7.2 |
7.9 | 7.3 |
8.3 | 5.7 |
7.2 | 9.1 |
a. Report the null and alternate hypotheses
b. Check assumptions of the matched pairs T-Test with a dotplot or histogram and report if it is reasonable to conduct the test
c. Run the test and report the appropriate test statistic, df, and P value
d. Based on your results from part c, do you accept or reject the null hypothesis?
e. Report the 95% CI for the mean difference between untreated and treated and interpret what this means.