Answer:
1.165.
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{1-0.98}{2} = 0.01](https://tex.z-dn.net/?f=%5Calpha%20%3D%20%5Cfrac%7B1-0.98%7D%7B2%7D%20%3D%200.01)
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 = 2.33](https://tex.z-dn.net/?f=z%20%3D%202.33)
Now, find the margin of error 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:
. So
![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)
![M = 2.33*\frac{5}{\sqrt{100}} = 1.165](https://tex.z-dn.net/?f=M%20%3D%202.33%2A%5Cfrac%7B5%7D%7B%5Csqrt%7B100%7D%7D%20%3D%201.165)
So the correct answer is:
1.165.
Answer:
26
Step-by-step explanation:
Product means multiply, a number means any variable so 6x is the answer
From the statements given in the problem, we can say
that:
Final Score = (total of the remaining scores) * degree of
difficulty * 0.6
Therefore:
97.2 = (total of the remaining scores) * 4.0 * 0.6
total of the remaining scores = 40.5
Therefore the judges could have scored which has a total
of 40.5