Problem 1 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 ten 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. a) Compute a 95% CI for the difference in blood pressure over 4 weeks. b) Is there a statistically significant difference in blood pressure over time? Run a t-test at a 5% level of significance. Baseline: 120 145 130 160 152 143 126 121 115 135 Week 4: 122 142 135 158 155 140 130 120 124 130
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Step 1
To compute the 95% confidence interval (CI) and perform a t-test, we first need to calculate the differences between the baseline and week 4 measurements for each participant. Baseline: 120 145 130 160 152 143 126 121 115 135 Week 4: 122 142 135 158 155 140 130 Show more…
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Madhur L.
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 10 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. Baseline 120 145 130 160 152 143 126 121 115 135 4 Weeks 122 142 135 158 155 140 130 120 124 130 The 95% confidence interval for the difference in blood pressures over 4 weeks is (-2.2, 4.0). What conclusion can be made in this situation? There is no significant difference in mean blood pressure at baseline and after four weeks. There is a significant difference in mean blood pressure at baseline and after four weeks. No conclusion can be made with the information provided. Reject the null hypothesis.
Shaiju T.
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 7 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. Baseline: 120 130 152 126 4 Weeks: 122 135 155 130 Difference: -2 3 -5 2 -3 3 -4 Σ Differences = -6 Difference^2: 4 9 25 4 9 9 16 Σ Differences^2 = 76 Step 1. Set up hypotheses and determine the level of significance Step 2. Select the appropriate test statistic Step 3. Set up the decision rule Step 4. Compute the test statistic Step 5. Conclusion
Paul A.
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