Question: This same new drug was tested on another group, but this time the test was done before the drug was administered, and then tested after
This same new drug was tested on another group, but this time the test was done before the drug was administered, and then tested after the drug was given to the same group. The results are shown in the table below:
| Subject | Before | After |
| 1 | 199 | 189 |
| 2 | 174 | 170 |
| 3 | 195 | 177 |
| 4 | 171 | 167 |
| 5 | 179 | 159 |
| 6 | 182 | 151 |
| 7 | 193 | 176 |
| 8 | 208 | 183 |
| 9 | 185 | 159 |
| 10 | 155 | 145 |
| 11 | 169 | 146 |
| 12 | 208 | 177 |
Use the data above with a significance level of 0.05 to test the claim that for the populations of blood pressures before and after the drug, the differences have a mean greater than 0 mm Hg (so the claim is that the drug helps lower the blood pressure). Use the P-Value method to determine whether or not to reject the null hypothesis and state your conclusion.
- Write the hypothesesin symbolic form, determine if the test is right-tailed, left-tailed, or two tailed and explain why.
- Calculate the test statistic and the P-Value.
- Make a decision about the null hypothesis and explain your reasoning, then make a conclusion about the claim in nontechnical terms
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