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Chapter 6 2122

# Chapter 6 2122 - STA-2122 Introduction to Statistics I...

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STA-2122 Introduction to Statistics I Chapter 6: Sampling Distributions A parameter is a numerical descriptive measure of a population. Because it is based on the observations in the population, its value is almost always unknown. A sample statistic is a numerical descriptive measure of a sample. It is calculated from the observations in the sample. 6.1 What is a Sampling Distribution? Since, we usually wish to make inference about some population parameter, which is unknown, we have to do so using a descriptive statistic obtained from a sample of the population in order to make inference, but to do so we need the probability distribution of the sample statistic or the sampling distribution. The sampling distribution of a sample statistic calculated from a sample of n measurements is the probability distribution of the statistic. 6.2 Properties of Sampling Distributions: Unbiasedness and Minimum Variance A point estimator of a population parameter is a rule or formula that tells us how to use the

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Chapter 6 2122 - STA-2122 Introduction to Statistics I...

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