Answer:
You should select at least 216 statistics professors.
Step-by-step explanation:
We have that to find our
level, that is the subtraction of 1 by the confidence interval divided by 2. So:
![\alpha = \frac{1-0.95}{2} = 0.025](https://tex.z-dn.net/?f=%5Calpha%20%3D%20%5Cfrac%7B1-0.95%7D%7B2%7D%20%3D%200.025)
Now, we have to find z in the Ztable as such z has a pvalue of
.
So it is z with a pvalue of
, so ![z = 1.96](https://tex.z-dn.net/?f=z%20%3D%201.96)
Now, find M as such
![M = z*\frac{\sigma}{\sqrt{n}}](https://tex.z-dn.net/?f=M%20%3D%20z%2A%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D)
In which
is the standard deviation of the population and n is the size of the sample.
In this problem, we have that:
![M = 2, \sigma = 15](https://tex.z-dn.net/?f=M%20%3D%202%2C%20%5Csigma%20%3D%2015)
![M = z*\frac{\sigma}{\sqrt{n}}](https://tex.z-dn.net/?f=M%20%3D%20z%2A%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D)
![2 = 1.96*\frac{15}{\sqrt{n}}](https://tex.z-dn.net/?f=2%20%3D%201.96%2A%5Cfrac%7B15%7D%7B%5Csqrt%7Bn%7D%7D)
![2\sqrt{n} = 29.4](https://tex.z-dn.net/?f=2%5Csqrt%7Bn%7D%20%3D%2029.4)
![\sqrt{n} = 14.7](https://tex.z-dn.net/?f=%5Csqrt%7Bn%7D%20%3D%2014.7)
![\sqrt{n}^{2} = (14.7)^{2}](https://tex.z-dn.net/?f=%5Csqrt%7Bn%7D%5E%7B2%7D%20%3D%20%2814.7%29%5E%7B2%7D)
![n = 216](https://tex.z-dn.net/?f=n%20%3D%20216)
You should select at least 216 statistics teachers.
F(-9)= 1/3(-9)^2 + 5
F(-9) = 1/3(81) + 5
= 27 + 5
= 32
Hope this helps!
Answer:
1 half with 3/10 left over.
Step-by-step explanation:
1/2 is also 5/10, so that means that there is one 5/10 is 8/10, with 3/10 left over
Answer:
AB = 17 meters
Step-by-step explanation:
Given that the triangle, ∆ABC, has 2 congruent sides that are indicated with a single marking on segment AC and segment AB, both segments would be of equal measure.
Therefore, since the measure of segment C is 17 meters, the measure of segment AB = measure of segment AC = 17 meters.
Segment AB = 17 meters. It is congruent to segment AC.