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