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 22 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 α=0.01 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)	198	200	159	202	185	150	148	149	175
Blood pressure (after)	191	174	151	178	159	140	140	141	161

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 three 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 H0. 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 Reject.

Answer 1

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 22 hours after taking the drug are shown in the table below.

of patients both before and after taking the new drug.

Patient	1	2	3	4	5	6	7	8	9
Blood pressure (before)	198	200	159	202	185	150	148	149	175
Blood pressure (after)	191	174	151	178	159	140	140	141	161

5) there is a sufficient evidence to support the claim that is new drug reduces blood pressure.