Statistical Intervals for a Single Sample
Chapter Outline
8-1 Confidence Interval on the Mean of a Normal Distribution, Variance Known
8-1.1 Development of the Confidence Interval and Its Basic Properties
8-1.3 One-Sided Confidence Bounds
8-1.4 General Method to Derive a Confidence Interval
8-1.5 Large-Sample Confidence Interval for μ
8-2 Confidence Interval on the Mean of a Normal Distribution, Variance Unknown
8-2.2 Confidence Interval on μ
8-3 Confidence Interval on the Variance And Standard Deviation of a Normal Distribution
8-4 Large-Sample Confidence Interval for a Population Proportion
8-5 Guidelines for Constructing Confidence Intervals
8-6 Bootstrap Confidence Interval
8-7 Tolerance and Prediction intervals
Introduction
Engineers are often involved in estimating parameters. For example, there is an ASTM Standard E23 that defines a technique called the Charpy V-notch method for notched bar impact testing of metallic materials. The impact energy is often used to determine whether the material experiences a ductile-to-brittle transition as the temperature decreases. Suppose that we have tested a sample of 10 specimens of a ...
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