A pilot study was conducted to evaluate the effectiveness of pain alleviation in

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?

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