Answer:
a)
b) 
c) 
Step-by-step explanation:
Part a
The significance level given is 
and the degrees of freedom are given by:
Since we are conducting a right tailed test we need to find a critical value on the t distirbution who accumulates 0.1 of the area in the right and we got:
Part b
The significance level given is 
and the degrees of freedom are given by:
Since we are conducting a left tailed test we need to find a critical value on the t distirbution who accumulates 0.01 of the area in the left and we got:
Part c
The significance level given is 
and 
and the degrees of freedom are given by:
Since we are conducting a two tailed test we need to find a critical value on the t distirbution who accumulates 0.025 of the area on each tail and we got:
1000 is the answer! hoped I helped
The distance between a point
on the given plane and the point (0, 2, 4) is
but since
and
share critical points, we can instead consider the problem of optimizing
subject to
.
The Lagrangian is
with partial derivatives (set equal to 0)
Solve for
:
which gives the critical point
We can confirm that this is a minimum by checking the Hessian matrix of
:
is positive definite (we see its determinant and the determinants of its leading principal minors are positive), which indicates that there is a minimum at this critical point.
At this point, we get a distance from (0, 2, 4) of
Answer:
24
Step-by-step explanation:
In a fraction, the top number is the numerator and the bottom number is the denominator.
