In: Statistics and Probability
| 2. Rossi et al. (2013) studied the relationship between cholesterol level and hypertension. They compared | ||
| the total cholesterol measurements (mg/dl) for 15 patients with primary hypertension (PH) and another | ||
| 15 patients who were normotensive (NT). The results are given below. | ||
| Patient Number | Primary hypertensive patients | Normotensive patients | 
| 1 | 207 | 177 | 
| 2 | 172 | 179 | 
| 3 | 241 | 194 | 
| 4 | 185 | 206 | 
| 5 | 134 | 173 | 
| 6 | 222 | 189 | 
| 7 | 180 | 194 | 
| 8 | 276 | 168 | 
| 9 | 218 | 212 | 
| 10 | 265 | 142 | 
| 11 | 183 | 188 | 
| 12 | 214 | 200 | 
| 13 | 259 | 179 | 
| 14 | 152 | 142 | 
| 15 | 210 | 222 | 
| Can we conclude that PH patients have, on average, higher total cholesterol levels than NT patients? | ||
| Make no assumptions and show all work out to the right. | ||
| Ho: | 
| Ha: | 
| test-statistic: | 
| df: | 
| Exact P value for the test-statistic | 
| 
 Conclusion relative to the hypothesis:  | 
| What is the | ||
| Statistical Power of this test?: | % | 
| Patient Number | Primary hypertensive patients(X1) | Normotensive patients(X2) | 
| 1 | 207 | 177 | 
| 2 | 172 | 179 | 
| 3 | 241 | 194 | 
| 4 | 185 | 206 | 
| 5 | 134 | 173 | 
| 6 | 222 | 189 | 
| 7 | 180 | 194 | 
| 8 | 276 | 168 | 
| 9 | 218 | 212 | 
| 10 | 265 | 142 | 
| 11 | 183 | 188 | 
| 12 | 214 | 200 | 
| 13 | 259 | 179 | 
| 14 | 152 | 142 | 
| 15 | 210 | 222 | 
| Mean | 207.8666667 | 184.3333333 | 
| SD | 41.18402372 | 22.69570968 | 
Let alpha = 0.05



