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Chapter 14: Hypothesis Tests – Small Samples
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Figure 14-8
: Display of the Small Sample Test for a Single
Population Mean workbook output for
Example14-4
We can write up the test using the information in the output.
:
$45,500
:
< $45,500
:
P
-value = 0.0069 (from
Figure 14-8
)
: For a significance level of
= 0.01, reject the null hypothesis if the
P
-value = 0.0069 <
= 0.01 (1%).
Conclusion
: Since 0.0069 < 0.01, reject
. There is sufficient sample
evidence to support the claim that the average salary for similar workers as
those represented by the union in the state is less than $45,500 at the 1%
level of significance.
Note
: There is a significant difference between the sample mean and the
postulated value of the population mean of $45,500.
Click here for the Small Sample Test for a Single Population Mean Workbook