| Raw
data
Comparing
the mean incomes of males and females using survey data from 1993.
Two-Sample
Difference of Means
Independent
Variable: SEX
Dependent
Variable: INCOME
Sample
One: 0 Female
Sample
Two: 1 Male
Sample
1 Sample
2
Female Male
-----------------------------------------------------------
Sample
Mean
12279.4667 15266.4706
Std
Deviation
4144.6323 3947.7352
Sample
Size (n)
15
17
Homogeneity
of Variance
------------------------------------------------------------
F-ratio 1.09
DF (14, 16) p
< 0.4283 A
T-statistic DF p < (2-tailed)
------------------------------------------------------------
Equal
Variance -2.0870 30
0.0455 B
Unequal
Variance -2.0800 31.05 0.0459
A
The F-ratio is not statistically significant.
Therefore, use the equal variance test statistic.
B For a 2-tailed test, the p-value represents
the probability of making a type 1 error (concluding there is statistical significance
when there is none). Since there is about 4.6%
(p < .0455) chance of making a type 1 error, which does not exceed the 5% error limit
(p=.05) established in the rejection criteria of the hypothesis testing process (alpha),
you conclude there is statistical significance.
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