Chapter 8Estimation of Population Parameters
The focus of this chapter is the development of methods for finding point and interval estimators of population parameters.
Topics Covered
- Point estimators for the population mean and variance
- Interval estimators for the mean of a normal population
- Interval estimators for the difference of means of two normal populations
- Interval estimators for the variance of a normal population
- Interval estimators for the ratio of variances of two normal populations
- Estimation methods: method of moments and the method of maximum likelihood
- Point and interval estimators for the binomial parameter
- Prediction: estimation of a future observation
Learning Outcomes
After studying this chapter, the reader will be able to
- Understand the role of estimation in applied statistics.
- Determine the point and interval estimates for parameters of various discrete and continuous distributions.
- Understand the concept of a confidence coefficient and interpret confidence intervals.
- Understand the distinction between statistical and practical significance.
- Apply statistical packages MINITAB, R, and JMP to determine confidence intervals of parameters of various distributions.
8.1 Introduction
We often encounter statistical problems of the following type: we have a large lot or population of objects such that if a measurement was made on each object, we would have a distribution of these measurements. Since these measurements have not been made, or if it is not ...
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