Answer:
(0.6613, 8.3387)
Step-by-step explanation:
Let the heights of men be the first population and the heights of women be the second population. Then
We have 
, 
, 
and
, 
, 
. The pooled
estimate is given by
The 99% confidence interval for the true mean difference between the mean height of the men and the mean height of the women is given by (if the samples are independent)
, i.e.,
where 
is the 0.5th quantile of the t distribution with (15+7-2) = 20 degrees of freedom. So
, i.e.,
(0.6613, 8.3387)
we need to find 1% of 10000 first
so we divide 10000:100= 100 (that's 1%)
to find the 60% which will be accepted we multiply 100 × 60 = 6000 students accepted
of those 6000 we need to find 50% which is ½ so we basically just divide by 2, aka 6000 : 2 = 3000 people which will be enrolled
There are 3 available methods - Substitution , Elimination and <span>Matrix.
</span>The substitution<span> method is used to eliminate one of the variables by replacement.
</span>
The elimination method<span> is used for solving linear systems.
</span>
<span>A Matrix is an array of numbers.
</span>
Lets use Substitution to solve this system.
Now substitute <span>
</span>
Hence -
