The answer is "You must be no older than 18 to play in a basketball league."
So if the main question is 9q x 3 it would equal 27q
Answer: 189.41
Step-by-step explanation: Let’s take the number as n and if nx(100-15)/100=161 then 85n/100=161 and therefore n= 181.4117
I don’t know why the answer is in decimal as mostly it won’t be. Maybe you have made a mistake with the question so pls do check the question too!
Answer:
The minimum sample size is needed to be 95% confident that the sample mean is within 5 minutes of the true population mean is 40.
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 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.
If the population standard deviation is 16 minutes, what minimum sample size is needed to be 95% confident that the sample mean is within 5 minutes of the true population mean
This is n when
. 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)
![5 = 1.96*\frac{16}{\sqrt{n}}](https://tex.z-dn.net/?f=5%20%3D%201.96%2A%5Cfrac%7B16%7D%7B%5Csqrt%7Bn%7D%7D)
![5\sqrt{n} = 1.96*16](https://tex.z-dn.net/?f=5%5Csqrt%7Bn%7D%20%3D%201.96%2A16)
![\sqrt{n} = \frac{1.96*16}{5}](https://tex.z-dn.net/?f=%5Csqrt%7Bn%7D%20%3D%20%5Cfrac%7B1.96%2A16%7D%7B5%7D)
![(\sqrt{n})^{2} = (\frac{1.96*16}{5})^{2}](https://tex.z-dn.net/?f=%28%5Csqrt%7Bn%7D%29%5E%7B2%7D%20%3D%20%28%5Cfrac%7B1.96%2A16%7D%7B5%7D%29%5E%7B2%7D)
![n = 39.3](https://tex.z-dn.net/?f=n%20%3D%2039.3)
The minimum sample size is needed to be 95% confident that the sample mean is within 5 minutes of the true population mean is 40.
Its blurry cant see anything reallly