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# A pharmaceutical company claims that its new drug reduces systolic blood pressure. The systolic blood pressure...

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. Is there enough evidence to support the company's claim? Let d = (blood pressure before taking new drug)-(blood pressure after taking new drug). Use a significance level of a = 0.05 for the test. Assume that the systolic blood pressure levels 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) 160 189 185 193 166 199 193 178 156 Blood pressure (after) 142 174 159 181 160 173 171 170 141
Step 1 of 5: State the null and alternative hypotheses for the test. Step 2 of 5: Find the value of the standard deviation of the paired differences. Round your answer to one decimal place. Step 3 of 5: Compute the value of the test statistic. Round your answer to three decimal places. Step 4 of 5: Determine the decision rule for rejecting the null hypothesis HO. Round the numerical portion of your answer to three decimal places. Step 5 of 5: Make the decision for the hypothesis test. Reject or Fail to regect Null Hypotthesis.

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