Paired T confidence interval:
μ_{D} = μ_{1} - μ_{2} : Mean of the
difference between Male Population and Female Population
90% confidence interval results:
Difference |
Mean |
Std. Err. |
DF |
L. Limit |
U. Limit |
Male Population - Female Population |
-4443.9378 |
721.71083 |
594 |
-5632.9008 |
-3254.9748 |
Why is the above data paired? Interpret and state your confidence Interval, and based on your confidence interval is there a significant difference in male and female populations; if so what is it and how do you know?
the element in the male population is matched to the element selected from female population hence its a paired t test.we are 90% confident that the true difference in Male Population and Female Population lies in between
-5632.9008 and -3254.9748.
Ho:mu1-mu2=0
Ha:mu1-mu2 not=0
Fail to reject Ho as the 90% confidence intrval do not contain zero
There is no significant difference in male and female populations, since the 90% confidence interval for difference between Male Population and Female Population do not contain 0.
.
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