ch8-2x3 - 3/23/2009 1 8-1 Introduction In the previous...

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Unformatted text preview: 3/23/2009 1 8-1 Introduction In the previous chapter we illustrated how a parameter can be estimated from sample data. However, it is important to understand how good is the estimate obtained. Bounds that represent an interval of plausible values for a parameter are an example of an interval estimate . Three types of intervals will be presented: Confidence intervals Prediction intervals Tolerance intervals 8-2.1 Development of the Confidence Interval and its Basic Properties 8-2 Confidence Interval on the Mean of a Normal Distribution, Variance Known 8-2.1 Development of the Confidence Interval and its Basic Properties 8-2 Confidence Interval on the Mean of a Normal Distribution, Variance Known 8-2.1 Development of the Confidence Interval and its Basic Properties The endpoints or bounds l and u are called lower- and upper- confidence limits , respectively. 8-2 Confidence Interval on the Mean of a Normal Distribution, Variance Known Since Z follows a standard normal distribution, we can write: 3/23/2009 2 8-2.1 Development of the Confidence Interval and its Basic Properties Definition 8-2 Confidence Interval on the Mean of a Normal Distribution, Variance Known Example 8-1 8-2 Confidence Interval on the Mean of a Normal Distribution, Variance Known Interpreting a Confidence Interval The confidence interval is a random interval 8-2 Confidence Interval on the Mean of a Normal Distribution, Variance Known The appropriate interpretation of a confidence interval (for example on ) is: The observed interval [ l , u ]...
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This note was uploaded on 02/05/2012 for the course ST 315 taught by Professor Staff during the Fall '11 term at S. Alabama.

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ch8-2x3 - 3/23/2009 1 8-1 Introduction In the previous...

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