A pilot study was conducted to evaluate the effectiveness of pain alleviation in patients with facial shingles. 24 patients were randomly assigned to...

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

1. State the null and alternative hypothesis.
2. What is the value of t for the analysis?
3. Is this value significant and at what level? Why?
4. Why is a pooled variance test allowed here while a separate variance t test is not appropriate?