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?