In: Statistics and Probability
A pharmaceutical company claims that its new drug reduces systolic blood pressure. The systolic blood pressure (in millimeters of mercury) for nine patients before taking the new drug and 2 hours after taking the drug shown in the table below. Using this data, find the 95 % confidence interval for the true difference in blood pressure for each patient after taking the new drug. Assume that the blood pressures are normally distributed for the population of patients both before and after taking the new drug.
Patient 1 2 3 4 5 6 7 8 9
Blood pressure (before) 153 159 197 164 185 162 158 196 166
Blood pressure (after) 146 142 180 145 177 142 146 176 146
Step 3: Calculate the margin of error to be used in constructing the confidence interval. Round your answer to six decimal places.
95% confidence interval for true difference in blood pressure is (8.602619 , 35.841824)
Margin of error is 13.619602
Complete solution is given in attached images:
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