The central limit theorem

Provide detailed answers for each

1. Explain the central limit theorem. (Ch 22(07), 10 points)
2. Describe the advantages and disadvantages of stratified random sampling, cluster sampling, and systematic sampling. (Ch 22(07), 10 points)
3. Describe hypothesis testing and explain how to develop null and alternative hypotheses. (Ch 23(09), 10 points)
4. Compare type I and type II errors. (Ch 23(09), 10 points)
5. Explain and compare independent simple random samples and matched samples. (Ch 24(10), 10 points)