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, find a 95% confidence interval for p.
| Animal # |
X |
Y |
| 1 |
45 |
6.5 |
| 2 |
42
|
6.3 |
| 3 |
56 |
9.5 |
| 4 |
48 |
7.5 |
| 5 |
42 |
7.0 |
| 6 |
35 |
5.9 |
| 7 |
58 |
9.5 |
| 8 |
40 |
6.2 |
| 9 |
39 |
6.6 |
| 10 |
50 |
8.7 |