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Chapter 12: Hypothesis Tests – Large Samples
539
In addition, we can use the large sample
-test since
= 75 > 30 although
is unknown.
Solution:
Since we are asked to use the
P
-value approach for the test, we
will first use the
Large Sample Test for a Single PopulationMean
workbook to compute the
P
-value.
Figure 12-13
shows a portion of the
output for the workbook with a
P
-value = 0.0745 for the right tail test.
Figure 12- 13:
Display of the Test for a Single Population
Mean workbook output for
Example12-6
Thus,
$66,200
$66,200
:
P
-value = 0.0745
: For a significance level of
= 0.05, reject the null hypothesis if the
computed
P
- value = 0.0745 <
= 0.05.
Conclusion
:
Since 0.0745 > 0.05, do not reject
. There is insufficient
sample evidence to confirm the claim by management. That is, there is