415 / 762
Chapter 10: Sampling Distributions and the Central Limit Theorem
415
CHAPTER 10
●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●
Sampling Distributions and the
Central Limit Theorem
●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●
You should study the topics in this chapter if you need to review
or want to learn about
Sampling Distribution of a Sample Proportion
Sampling Distribution of a Sample Mean
The Central Limit Theorem
Sampling Distribution of the Difference Between Two Independent
Sample Proportions
Sampling Distribution of the Difference Between Two Independent
Sample Means
10-1 Introduction
Here we will focus on sampling distributions and the Central Limit
Theorem. Sampling distributions for the sample mean, the sample
proportion, the difference of sample proportions from two independent
populations, and the difference of sample means from two independent
populations will be investigated, along with the Central Limit Theorem for
these situations. The Central Limit Theorem will lay the foundation for the
broad area of statistical inference to be studied in later chapters in the e-
book.
10-2 Sampling Distribution of a Sample Proportion
Supposewe are interested in the true proportion of parents in the United
States who feel they have the right to monitor their kids’ smartphone usage.
If we let the population proportion be denoted by
, then
can be defined by