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Question: A doctor wants to know if a blood pressure medication is effective. Six subjects have their blood pressures recorded. After twelve weeks on the medication, the same six subjects have their blood pressure recorded again. For this test, only systolic pressure is of concern. Test at the 1% significance level.

Patient        A       B      C       D       E      F

Before        161    162   165   162    166   171

After          158    159   166   160    167   169

1. State the null and alternative hypotheses.

2. What is the test statistic?

3. What is the p-value?

4. What is the sample mean difference?

5. What is the conclusion?

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