Statistics and Probability with Applications for Engineers and Scientists Using MINITAB, R and JMP, 2nd Edition

Chapter 7Sampling Distributions

The focus of this chapter is to discuss sampling distributions of functions of random variables.

Topics Covered

• 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, which are very useful in applied statistics
• Distributions of various order statistics and their applications
• Use of different statistical packages, namely MINITAB, R, and JMP

Learning Outcomes

After studying this chapter, the reader will be able to

• Understand the basic concepts of sampling distributions.
• Understand the Central Limit Theorem and when to apply it.
• Understand the details of important sampling distributions, namely ‐square, Student‐, and Snedecor's ‐distributions and use them to make conclusions about problems that arise in applied statistics.
• Develop the distributions of various order statistics.
• Make use of MINITAB, R, and JMP in areas of applied statistics.

7.1 Random Sampling

In this chapter, we study topics ...