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Chapter 14: Hypothesis Tests – Small Samples
CHAPTER 14
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Hypothesis Tests
Small Samples
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You should study the topics in this chapter if you need to review
or want to learn about
Small-sample hypothesis tests for a single population mean
Small sample hypothesis tests for the difference between two
population means using independent samples
Small sample hypothesis tests for the difference between two
population means using dependent samples
14-1 Introduction
Recall, in Chapter 13, we presented content with regards to small sample
confidence intervals. In this chapter, we will consider small sample
hypothesis tests. In particular, we will be dealing with a population mean or
the difference between two population means. For the difference between
two small sample population means, we will consider hypothesis tests for
both independent and dependent samples. As with the small sample
confidence intervals for a population mean and the difference between two
population means, the tests for hypothesis we will be discussing in this
chapter, will also use the
t
-distribution.
14-2 Small Sample Test for a Single PopulationMean
In this section tests of hypotheses will be presented that will enable us to
determine, based on sample data, whether the true value of a population
mean equals a given constant. Samples of size
n
will be obtained from a
normal population with unknown standard deviation.