Chapter 8 - Sampling methods and the central limit theorem. When you have completed this chapter, you will be able to: Explain why a sample is often the only feasible way to learn something about a population, describe methods to select a sample, define sampling error, describe the sampling distribution of the sample mean,. | Sampling Methods and the Central Limit Theorem Chapter 08 McGraw-Hill/Irwin Copyright © 2013 by The McGraw-Hill Companies, Inc. All rights reserved. LEARNING OBJECTIVES LO 8-1 Explain why a sample is often the only feasible way to learn something about a population. LO 8-2 Describe methods to select a sample. LO 8-3 Define sampling error. LO 8-4 Describe the sampling distribution of the sample mean. LO 8-5 Explain the central limit theorem. LO 8-6 Define the standard error of the mean. LO 8-7 Apply the central limit theorem to find probabilities of selecting possible sample means from a specified population. 8- In this chapter we explain the importance of using a sample to learn about a population. We will describe the proper methods of selecting a sample, define and construct a sampling distribution of the sample mean, explain the central limit theorem, and use the central limit theorem to find probabilities of selecting possible sample means from a specified population. Why Sample the Population? To contact the whole population would be time consuming. The cost of studying all the items in a population may be prohibitive. The physical impossibility of checking all items in the population. The destructive nature of some tests. The sample results are adequate. LO 8-1 Explain why a sample is often the only feasible way to learn something about a population 8- Probability Sampling and Sampling Methods What is a Probability Sample? A probability sample is a sample selected such that each item or person in the population being studied has a known likelihood of being included in the sample. Four Most Commonly Used Probability Sampling Methods Simple Random Sample Systematic Random Sampling Stratified Random Sampling Cluster Sampling LO 8-2 Describe methods to select a sample 8- Simple Random Sample and Systematic Random Sampling Simple Random Sample: A sample selected so that each item or person in the population has the same chance of . | Sampling Methods and the Central Limit Theorem Chapter 08 McGraw-Hill/Irwin Copyright © 2013 by The McGraw-Hill Companies, Inc. All rights reserved. LEARNING OBJECTIVES LO 8-1 Explain why a sample is often the only feasible way to learn something about a population. LO 8-2 Describe methods to select a sample. LO 8-3 Define sampling error. LO 8-4 Describe the sampling distribution of the sample mean. LO 8-5 Explain the central limit theorem. LO 8-6 Define the standard error of the mean. LO 8-7 Apply the central limit theorem to find probabilities of selecting possible sample means from a specified population. 8- In this chapter we explain the importance of using a sample to learn about a population. We will describe the proper methods of selecting a sample, define and construct a sampling distribution of the sample mean, explain the central limit theorem, and use the central limit theorem to find probabilities of selecting possible sample means from a specified .