Question

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 are shown in the table below. Using this data, find the 99% 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) 168 160 180 175 179 201 201 162 166 Blood pressure (after) 143 148 171 168 165 182 187 143 153 Step 1 of 4 : Find the point estimate for the population mean of the paired differences. Let x1 be the blood pressure before taking the new drug and x2 be the blood pressure after taking the new drug and use the formula d=x2−x1 to calculate the paired differences. Round your answer to one decimal place.

Answer 1

Answer Date: 30/07/2020 The difference table after minus before is, Before 168 160 180 175 179 201 201 162 166 After 143 148 171 168 165 182 187 143 153 Difference -25 -12 -9 -7 -14 -19 -14 -19 -13 Step 1

The point estimate for the population mean of the paired differences is, n (-25) + (-12)+(-9)+(-7)+(-14)+(-19)+(-14)+(-19)+(-13) 9 = -14.7 The point estimate for the population mean of the paired differences is - 14.7