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Chapter 14: Hypothesis Tests – Small Samples
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will follow a
distribution with (
– 1) degrees of freedom. We can
then use this as the test statistic to perform tests for dependent sets of data.
The test will require that the population standard deviation of the
differences,
to be unknown, the sample size
of the differences be small
(
< 30), and that the sampling distribution of the differences to be normal.
Note:
The set up for the hypothesis tests will be the same as the small
sample
test except now we will be performing tests around the parameter
Summary of Hypothesis Tests
(a) Right –tailed (one-tailed) Test
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For a specified significance level
, reject the null hypothesis if
the computed test statistic value
is greater than
.
Conclusion
: ……….
Note:
This is a right-tailed test because the direction of the inequality sign
in the alternative hypothesis is to the right.
(b) Left –tailed (one-tailed) Test
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