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Chapter Six Normal Curves and Sampling Probability Distributions

Chapter Six Normal Curves and Sampling Probability Distributions. Chapter 6 Section 4 Sampling Distributions. Review of Statistical Terms. Population. Sample. A subset of measurements from a population. We use information obtained from a sample to

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Chapter Six Normal Curves and Sampling Probability Distributions

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  1. Chapter SixNormal Curves and Sampling Probability Distributions

  2. Chapter 6Section 4Sampling Distributions

  3. Review of Statistical Terms

  4. Population

  5. Sample A subset of measurements from a population. • We use information obtained from a sample to make inferences about the population. • For a given population, there is a very large number of possible samples.

  6. Parameter A numerical descriptive measure of a population.

  7. Examples of Population Parameters • The population mean, denoted by μ, is a population parameter. • The population standard deviation, denoted by σ, is a population parameter. • The population value in a binomial experiment of the probability of success for one trial, denoted by p, is a population parameter.

  8. Statistic

  9. Examples of Sample Statistics

  10. Sample statistics are used to make inferences about population parameters • Statistic are used to estimate the value of a parameter. • Statistics are used to make decisions about the value of a parameter. • If we were somehow able to produce all the possible samples of the same size, calculate each sample mean, • and then observe the resulting distribution, we would • be examining what is called the sampling distribution. • When we are interested in investigating a population • mean, we must know about the sampling distribution • for sample means of a given sample size.

  11. Principal types of inferences • Estimation: In this type of inference, we estimate the value of a population parameter. • Testing: In this type of inference, we formulate a decision about the value of a population parameter. • Regression: In this type of inference, we make predictions or forecasts about the value of a statistical variable.

  12. Sampling distribution A sampling distribution is a probability distribution of a sample statistic based on all possible simple random samples of the same size from the same population.

  13. ENDOFSECTION 4

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