A pilot study was conducted to evaluate the effectiveness of pain alleviation in patients with facial shingles. 24 patients were randomly assigned to one of 2 treatment groups; rest vs. acupuncture. After two weeks of treatment, the subjects were then asked to rate their pain on a scale from 1 to 10 with 10 being the most pain they have ever experienced. The data they recorded is shown below:
Rest
Acupuncture
5
5
5
6
10
7
9
2
8
9
6
8
9
7
4
4
7
3
8
5
4
9
3
2
- State the null and alternative hypothesis.
- What is the value of t for the analysis?
- Is this value significant and at what level? Why?
- Why is a pooled variance test allowed here while a separate variance t test is not appropriate?
