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4.3 Can You Use Either the 95 Percent Conﬁdence Interval
About the Mean or the One-Group t-test When Testing
Hypotheses?
‘‘It sounds like you could use either the 95 % conﬁdence interval about the
mean or the one-group t-test to analyze the results of the types of problems
described so far in this topic? Is this a correct statement?’’
The answer is a resounding: ‘‘Yes!’’
Both the conﬁdence interval about the mean and the one-group t-test are used
often in science research on the types of problems described so far in this topic.
Both of these tests produce the same result and the same conclusion from the data
set!
Both of these tests are explained in this topic because some researchers prefer
the conﬁdence interval about the mean test, others prefer the one-group t-test, and
still others prefer to use both tests on the same data to make their results and
conclusions clearer to the reader of their research reports. Since we do not know
which of these tests your researcher prefers, we have explained both of them so
that you are competent in the use of both tests in the analysis of statistical data.
Now, let’s try your Excel skills on the one-group t-test on these three problems
at the end of this chapter.
4.4 End-of-Chapter Practice Problems
1. Suppose that you have been asked to decide if the average petal length of a
particular plant species grown in the state of Missouri has changed from what it
was ﬁve years ago when the average length of this plant in selected sites in
Missouri was 3.10 centimeters (cm). You have been asked to test your Excel
skills on the hypothetical data given in Fig. 4.5 .
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