1. Hypothesis Testing: Two-Sample Inference

2. Review from last class

3. One-sample test for the mean

4. One-sample test for the variance

5. power of the test = 1 − Pr(type II error)

9. 1. What are the differences between One-sample and Two-sample inferences? Give an example.
2. What are the differences between paired and unpaired (independent) tests? Give an example.
3. What are the differences between equal and unequal variances? Give an example.
Important:
1. One-sample or Two sample?
2. Paired or independent?
3. Equal variance or unequal variance?

23. Open question and group discussion
My friend John was diagnosed with Lung cancer, unfortunately. He has two candidate hospitals A and B to choose for treatment. What information he needs to make a rational decision of which hospital to go so that he has a better chance to survive? Assuming two hospitals has no differences in terms of facility, doctor team, service, and cost.