A clinical trial is planned to compare an experimental medicatio designed to low
ID: 3441250 • Letter: A
Question
A clinical trial is planned to compare an experimental medicatio designed to lower blood pressure to a placebo. Before starting the trial, a pilot study is conducted involving seven participants. The objective of the study is to assess how systolic blood pressures change over time if left untreated. Systolic blood pressures are measured at baseline and again at 4 weeks later. Is there a statistically significant difference in blood pressures over time? Run the test at 5% level of significance.
Baseline: 120 145 130 160 152 143 126
4 Weeks: 122 142 135 158 155 140 130
Explanation / Answer
0.02561
ud- the mean of the difference in systolic blood pressures if left untreated.
State the Hypotheses
H0: there is no difference in blood pressures over time if left untreated (ud = 0).
H1:there is a difference in blood pressures over time if left untreated (ud is not equal to 0).
State the Conclusion
Technical: p value=0.53381>0.05 We do not reject the null hypothesis.
Non-technical: Our data does not support the claim that there is a difference in systolic blood pressures over time if left untreated.
Answer to follow-up question: Systolic blood pressures do not appear to change if left untreated.
Calculations Comparing Means [ Paired two-sample t-test ] Descriptive Statistics VAR Sample size Mean Variance 7 139.42857 211.95238 7 140.28571 166.90476 Summary Degrees Of Freedom 6 Hypothesized Mean Difference 0.E+0 Test Statistics 0.65991 Pooled Variance 189.42857 Two-tailed distribution p-level 0.53381 t Critical Value (5%) 2.44691 One-tailed distribution p-level 0.2669 t Critical Value (5%) 1.94318 Pearson Correlation Coefficient 0.97575 G-criterion Test Statistics 0.02256 p-level 0.15267 Critical Value (5%) 0.459 Pagurova criterion Test Statistics 0.11651 p-level 0.09079 Ratio of variances parameter 0.55945 Critical Value (5%)0.02561
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