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Chapter 14: Hypothesis Tests – Small Samples
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Solution:
Let
be equal to the population average of the amount of money spent at
the beginning of the semester by the female students in the statistics class.
Let
be equal to the population average of the amount of money spent at
the beginning of the semester by the male students in the statistics class.
Since the distributions for both groups of the amount of money spent at the
beginning of the semester are assumed to be normally distributed and both
sample sizes are less than 30, then we can apply the small sample
t
-test
To minimize the computations in the problem, we will use the
Small
Sample Test for the Difference betweenTwo Independent Means
workbook to help with the computations. The relevant portion of the
workbook is shown in
Figure 14-12.
Figure 14-12
: Display of the Small Sample Test for the Difference
between Two Means workbook output for
Example 14-6