Specimens of blood from 10 different animals were analyzed for blood count, say, Y (in units of 100) and packed cell volume count X (in mm^3) with results as given below. Assuming normality, test the hypothesis that the true correlation coefficient p between blood count and volume count is zero. If the test is rejected, use the Inference about p (section 15.9) method to find a 95% confidence interval for p
| Specimen # |
X |
Y |
| 1 |
104.2 |
39.8 |
| 2 |
106.1 |
40.4 |
| 3 |
105.6 |
39.9 |
| 4 |
106.3 |
40.8 |
| 5 |
101.7 |
33.7 |
| 6 |
104.4 |
39.5 |
| 7 |
102 |
33 |
| 8 |
103.8 |
37 |
| 9 |
104 |
37.6 |
| 10 |
101.5 |
33.2 |
| 11 |
101.9 |
33.9 |
| 12 |
100.6 |
29.9 |
| 13 |
104.9 |
39.5 |
| 14 |
106.2 |
40.6 |
| 15 |
103.1 |
35.1 |