Please help with question 5. Thank you A clinical trial is planned to compare an experi-mental medication designed to lower blood pressureto a placebo. Before starting the trial, a pilot study isconducted involving 7 participants. The objectiveof the study is to assess how systolic blood pressurechanges over time untreated. Systolic blood pres-sures are measured at baseline and again 4 weekslater. Is there a statistically significant difference inpressures over time? Run the test at a 5% levelof significance.bloodBaseline: 120 145 130 160 152 143 1264 Weeks: 122142135158155140 130

Name: Please help with question 5. Thank you A clinical trial is planned to
Uploaded: 2024-03-20T07:07:37.000Z
Channel: Bartleby
Description: Please help with question 5. Thank you A clinical trial is planned to compare an experi-mental medication designed to lower blood pressureto a placebo. Before starting the trial, a pilot study isconducted involving 7 participants. The objectiveof the

According to the objective of the study, the hypothesis are : Null hypothesis : The mean of baselines systolic blood pressure is same as the mean of systolic blood pressure measured four weeks later. Alternative hypothesis : The mean of the two measures is different. Ho : μd =0Ho : μd ≠0,μd=mean of difference between two data sets Paired t-test will be used. the test statistics is given by: t=dSd/n~tn-1 Baseline 4 Weeks d = Baseline - 4Weeks 120 122 -2 145 142 3 130 135 -5 160 158 2 152 155 -3 143 140 3 126 130 -4 Average 139.43 140.29 -0.86 S.D 14.56 12.92 3.44The calculated t-value is : t=-0.863.44/7=-0.66 The critical t-value at α=0.05 level of significance with n-1=6 degrees of freedom is ±2.447 According to the decision rule, null hypothesis is rejected when the calculated test statistics is greater than the tabulated t-value and is accepted otherwise. 0.66 < 2.447 - Accept Ho Conclusion : There is no significant difference in the systolic blood pressures over time.