A clinical trial is planned to compare an experimen- tal medication designed to lower blood pressure to a placebo. Before starting the trial, a pilot study is con- ducted involving seven 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 sig- nificance. Baseline 120 145 130 160 152 143 126 4 weeks 122 142 135 158 155 140 130

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Please show how to answer the #5 questions using excel formula only. Thank you very much
nificance.
5. A clinical trial is planned to compare an experimen-
tal medication designed to lower blood pressure to a
placebo. Before starting the trial, a pilot study is con-
ducted involving seven 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 sig-
nificance.
Baseline
120
145
130
160
152
143
126
4 weeks
122
142
135
158
155
140
130
6. A hypertension trial is mounted, and 12 participants
are randomly assigned to receive either a new med-
ication or a placebo. Each participant takes the as-
FEB
20
Transcribed Image Text:nificance. 5. A clinical trial is planned to compare an experimen- tal medication designed to lower blood pressure to a placebo. Before starting the trial, a pilot study is con- ducted involving seven 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 sig- nificance. Baseline 120 145 130 160 152 143 126 4 weeks 122 142 135 158 155 140 130 6. A hypertension trial is mounted, and 12 participants are randomly assigned to receive either a new med- ication or a placebo. Each participant takes the as- FEB 20
Expert Solution
Step 1

Introduction:

Denote μ1, μ2 as the true mean systolic blood pressure at baseline, and 4 weeks later, respectively.

Denote, μd = μ1μ2 as the mean of the differences in the blood pressure values at the two periods.

Since it is of interest to know whether there is a significant difference in blood pressure values over time, the null and alternative hypotheses are as follows:

H0: μd = 0, versus H1: μd ≠ 0.

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