Chapter_06 - Chapter 6: Sampling Distributions Where Weve...

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Chapter 6: Sampling Distributions
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McClave: Statistics, 11th ed. Chapter 6: Sampling Distributions 2 Where We’ve Been The objective of most statistical analyses is inference Sample statistics (mean, standard deviation) can be used to make decisions Probability distributions can be used to construct models of populations
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McClave: Statistics, 11th ed. Chapter 6: Sampling Distributions 3 Where We’re Going Develop the notion that sample statistic is a random variable with a probability distribution Define a sampling distribution for a sample statistic Link the sampling distribution of the sample mean to the normal probability distribution
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In practice, sample statistics are used to estimate population parameters. A parameter is a numerical descriptive measure of a population. Its value is almost always unknown. A sample statistic is a numerical descriptive measure of a sample. It can be calculated from the observations. 4 McClave: Statistics, 11th ed. Chapter 6: Sampling Distributions
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Parameter Statistic Mean μ Variance 2 s 2 Standard Deviation s Binomial proportion p p ˆ 5 McClave: Statistics, 11th ed. Chapter 6: Sampling Distributions
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Distribution 6 McClave: Statistics, 11th ed. Chapter 6: Sampling Distributions Since we could draw many different samples from a population, the sample statistic used to estimate the population parameter is itself a random variable. The
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Chapter_06 - Chapter 6: Sampling Distributions Where Weve...

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