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)	185	200	179	201	172	172	181	167	203
Blood pressure (after)	164	174	154	194	159	153	163	146	181

step 1. State the null and alternative hypotheses

step 2. Find the value of the standard deviation of the paired differences

step 3. Find the value of the test statistic

Step 4. Determine the decision rule for rejecting the null hypothesis

Step 5: What is the decision for the hypothesis test

Answer 1

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