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ch8-2x3

# ch8-2x3 - 1 8-1 Introduction • In the previous chapter we...

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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 μ ) is: The observed interval [ l , u ]...
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ch8-2x3 - 1 8-1 Introduction • In the previous chapter we...

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