Unit 7-1

# Unit 7-1 - Sampling Distributions Parameter A number that...

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Sampling Distributions

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Parameter A number that describes the population Symbols we will use for parameters include μ - mean σ – standard deviation π – proportion (p) α – y-intercept of LSRL β – slope of LSRL
Statistic A number that that can be computed from sample data without making use of any unknown parameter Symbols we will use for statistics include x – mean s – standard deviation p – proportion a – y-intercept of LSRL b – slope of LSRL

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Identify the boldface values as parameter or statistic. A carload lot of ball bearings has mean diameter 2.5003 2.5003 cm. This is within the specifications for acceptance of the lot by the purchaser. By chance, an inspector chooses 100 bearings from the lot that have mean diameter 2.5009 2.5009 cm. Because this is outside the specified limits, the lot is mistakenly rejected.
Why do we take samples instead of taking a census? A census is not always accurate. Census are difficult or impossible to do. Census are very expensive to do.

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A distribution distribution is all the values that a variable can be.
The sampling distribution sampling distribution of a statistic is the distribution of values taken by the statistic in all possible samples of the same size from the same population.

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length of fish (in inches) in my pond - consisting of the values 2, 7, 10, 11, 14 μ x = 8.8 σ x = 4.0694 What is the mean What is the mean and standard and standard deviation of this deviation of this population? population?
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Unit 7-1 - Sampling Distributions Parameter A number that...

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