Question

Paired T confidence interval:

μ_D = μ₁ - μ₂ : 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?

Answer 1

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.

.