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Chapter 7 Sampling and Sampling Distributions

Chapter 7. Sampling and Sampling Distributions Slide 1. Learning objectives 1. Understand Simple Random Sampling 2. Understand Point Estimation and be able to compute point estimates 3. Understand Sampling distribution of x 4. Understand Sampling distribution of p 5. Understand properties of Point Estimators 6. Understand other Sampling Methods Slide 2. 1. Statistical Inference A primary purpose of statistical inference is to develop estimates and test hypotheses about population parameters using information contained in a sample. A parameter is a numerical characteristic of a population. ( , mean and variance). With proper Sampling methods, the sample results can provide good estimates of the population characteristics. Slide 3. Simple random Sampling Simple Random Sampling Point estimation Sampling distribution of x Sampling distribution of p Properties of point estimators Other Sampling methods Simple Random Sampling Finite population (N) Infinite population Probability of selecting any N is unknown.

4 Slide 7 n Process of Statistical Inference The value of x is used to make inferences about the value of m. x The sample data provide a value for the sample mean x. A simple random sample of n elements is selected from the population.

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