Chapter 7

Sampling Distributions

The focus of this chapter is a discussion of sampling distributions of functions of random variables. The topics covered are:

• Basic concepts of sampling from both an infinite and finite population
• Distributions of the sample average and sample proportion
• A fundamental theorem of probability known as the Central Limit Theorem
• Distributions related to the normal distribution, namely, chi-square, Student t, and Snedecor's F distributions, that are very useful in applied statistics
• Distributions of various order statistics, and their applications
• The use of different statistical packages, MINITAB, Microsoft Excel, and JMP

Learning Outcomes

After studying this chapter, the reader will be able to

• Understand the basic concepts of sampling distributions.