A clinical trial is planned to compare an experimental medic

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

Solution

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

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 cond
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 cond

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