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Lecture 6

# Lecture 6 - Probability and Statistics in the Life...

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Probability and Statistics in the Life Sciences (Spring 2010) AMS 110.02 Lecture 6 (chap5) Donghyung Lee

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Chapter 5 Sampling Distributions Read Section 5.1, 5.2, 5.3, 5.4, 5.5, 5.6
Section 5.3 Quantitative Observations Statistic : A numerical value calculated using information gathered from a sample. Ex) Average of weights in our class A statistic is any quantity whose value can be calculated from sample data. Prior to obtaining data, there is uncertainty as to what value of any particular statistic will result. Therefore, a statistic is a random variable and will be denoted by an uppercase letter ; a lowercase letter is used to represent the calculated or observed value of the statistic.

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Section 5.3 Quantitative Observations Example 1) The sample mean, regarded as a statistic (before a sample has been selected or an experiment carried out), is denoted by ; the calculated value of this statistic is . 2) S represents the sample standard deviation thought of as a statistic, and its computed value is s . X x
Section 5.3 Quantitative Observations Sampling distribution : a sampling distribution is the probability distribution of a given statistic based on a random sample of certain size n. It may be considered as the distribution of the statistic for all possible samples of a given size. The sampling distribution depends on the underlying distribution of the population, the statistic being considered, and the sample size used. (from wikipedia.com)

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Section 5.3 Quantitative Observations Sampling distribution of the sample mean 1) a sampling distribution of the sample mean is the probability distribution of the sample mean based on a random sample of certain size n.
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Lecture 6 - Probability and Statistics in the Life...

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