Question

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 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 significance. Time O1 O2 O3 O4 O5 O6 O7 Baseline 120 145 130 160 152 143 126 4 Weeks Later 122 142 135 158 155 140 130 Hint: To get started, compute differences. Time D1 D2 D3 D4 D5 D6 D7 Sum Differences Baseline 4 Weeks Later Step 1. Set up hypotheses and determine level of significance. H0: ? H1: ? α = ? Step 2. Select the appropriate test statistic: ? Step 3. Set up decision rule: Reject H0 ? Step 4. Compute the test statistic: ? Step 5. Conclusion: ?

          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 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 significance. 
Time
O1
O2
O3
O4
O5
O6
O7
Baseline
120
145
130
160
152
143
126
4 Weeks Later
122
142
135
158
155
140
130

Hint:  To get started, compute
differences.
Time
D1
D2
D3
D4
D5
D6
D7
Sum Differences
Baseline
4 Weeks Later
Step 1.   Set up hypotheses and determine level of
significance.
H0: ?
H1:
?                      
α = ?
Step 2.  Select the appropriate test statistic: ?
Step 3.  Set up decision rule: Reject H0 ?
Step 4.  Compute the test statistic: ?
Step 5.  Conclusion: ?

Added by Patrick A.

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