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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