Investigation of anti-body levels in a group of 22 patients before and after injection of an immunoglobulin produced the datasets provided: patient pre post 1 3.7 3.7 2 4.6 4.4 3 4.9 3.8 4 4.8 4.1 5 4.1 4.8 6 3.9 3.8 7 4.1 5.8 8 4.5 4.8 9 5.2 4.3 10 3.6 4.5 11 4.1 4.5 12 3.6 5.8 13 3 5.1 14 4.8 6.1 15 4.6 3.3 16 3.6 5.5 17 3.6 4.9 18 3.2 5.7 19 4.7 3.3 20 3.3 6.1
Investigation of anti-body levels in a group of 22 patients before and after injection of an immunoglobulin produced the datasets provided: patient pre post 1 3.7 3.7 2 4.6 4.4 3 4.9 3.8 4 4.8 4.1 5 4.1 4.8 6 3.9 3.8 7 4.1 5.8 8 4.5 4.8 9 5.2 4.3 10 3.6 4.5 11 4.1 4.5 12 3.6 5.8 13 3 5.1 14 4.8 6.1 15 4.6 3.3 16 3.6 5.5 17 3.6 4.9 18 3.2 5.7 19 4.7 3.3 20 3.3 6.1
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Investigation of anti-body levels in a group of 22 patients before and after injection of an immunoglobulin produced the datasets provided:
patient | pre | post |
1 | 3.7 | 3.7 |
2 | 4.6 | 4.4 |
3 | 4.9 | 3.8 |
4 | 4.8 | 4.1 |
5 | 4.1 | 4.8 |
6 | 3.9 | 3.8 |
7 | 4.1 | 5.8 |
8 | 4.5 | 4.8 |
9 | 5.2 | 4.3 |
10 | 3.6 | 4.5 |
11 | 4.1 | 4.5 |
12 | 3.6 | 5.8 |
13 | 3 | 5.1 |
14 | 4.8 | 6.1 |
15 | 4.6 | 3.3 |
16 | 3.6 | 5.5 |
17 | 3.6 | 4.9 |
18 | 3.2 | 5.7 |
19 | 4.7 | 3.3 |
20 | 3.3 | 6.1 |
(a) Write a null and alternate hypothesis set to test if there is evidence for post-injection anti-body
levels to be greater than pre-injection levels.
(b) Test your hypothesis using the appropriate hypothesis test and significance level.
(c) Compute a 99% confidence interval for the difference between pre and post-injection antibody levels.
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