In: Statistics and Probability
A clinical trial is planned to compare an experimental medication designed to lower blood pressure to a placebo. Before starting the trial, a pilot study is conducted involving eight participants. The objective of the study is to assess how systolic blood pressure changes over time untreated. Systolic blood pressures are measured at baseline and again 4 weeks later Is there a statistically significant difference in blood pressures over time? Run the test at a 5% level of significance. Give each of the following to receive full credit: 1) the appropriate null and alternative hypotheses; 2) the appropriate test; 3) the decision rule; 4) the calculation of the test statistic; and 5) your conclusion including a comparison to alpha or the critical value. You MUST show all your work to receive full credit. Partial credit is available. Either 1. upload an image or pdf with your handwritten work or 2. upload an Excel file with your work in Excel. Refer to the instructions at the beginning of the quiz. If the instructions are not followed, you will receive a 0 for this question.
Baseline: 135, 150, 143, 160, 152 , 143, 133, 146
4 weeks: 136, 142, 135, 158, 155, 140, 128, 129
CONCLUSION: Since p-value=0.06369 > alpha=0.05 so we fail to reject H0 at 5% level of significance and conclude that There is no significant difference in the blood pressures over time.