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# Question 1: One sample test on optimismAre a certain sampled population of women in a poor urban setting as optimistic as women nationally?Click the link below to download Week 2 Discussion Question 1

**Question 1: One sample test on optimism**

Are a certain sampled population of women in a poor urban setting as optimistic as women nationally?

Click the link below to download Week 2 Discussion Question 1. The data contained was collected from 1,000 women in the area around downtown Philadelphia. Run a one sample t test on the women's state of optimism given that the National norm on this test for all women is 50.0.

- The week 2 discussion data is an attached file.

- State the null and alternative hypothesis.
- What is the value of t for the analysis?
- Is this value significant and at what level? Why?
- What are the CI values and what do they mean here?

**Question 2: The two sample t test on shingles patients**

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?