Answer:
a) 2.66
b) 9
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean
and standard deviation
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean
and standard deviation
.
part A: what is the standard deviation of the sampling distribution of x hat? show your work.
We have that
. So
![s = \frac{\sigma}{\sqrt{n}} = \frac{8.4}{\sqrt{10}} = 2.66](https://tex.z-dn.net/?f=s%20%3D%20%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D%20%3D%20%5Cfrac%7B8.4%7D%7B%5Csqrt%7B10%7D%7D%20%3D%202.66)
PartB: what does the sample size need to be if you want the standard deviation of the sampling distribution of x hat to be 2.8?
This is n when
. So
![s = \frac{\sigma}{\sqrt{n}}](https://tex.z-dn.net/?f=s%20%3D%20%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D)
![2.8 = \frac{8.4}{\sqrt{n}}](https://tex.z-dn.net/?f=2.8%20%3D%20%5Cfrac%7B8.4%7D%7B%5Csqrt%7Bn%7D%7D)
![2.8\sqrt{n} = 8.4](https://tex.z-dn.net/?f=2.8%5Csqrt%7Bn%7D%20%3D%208.4)
![\sqrt{n} = \frac{8.4}{2.8}](https://tex.z-dn.net/?f=%5Csqrt%7Bn%7D%20%3D%20%5Cfrac%7B8.4%7D%7B2.8%7D)
![\sqrt{n} = 3](https://tex.z-dn.net/?f=%5Csqrt%7Bn%7D%20%3D%203)
![(\sqrt{n})^2 = 3^2](https://tex.z-dn.net/?f=%28%5Csqrt%7Bn%7D%29%5E2%20%3D%203%5E2)
![n = 9](https://tex.z-dn.net/?f=n%20%3D%209)
Answer:
3 1/5
Step-by-step explanation:
16/5 = 3 Remainder 1 --> 3 1/5.
Hi There!
Since 3 teachers share 2 packs of paper equally, you have to divide 3/2, once you divide you should get the answer of 1.5, To check you're answer do 1.5*2 which equals to three. So, each teacher gets 1.5 packs of paper.
Hope This Helps :)
The minimum number of shirt they will sell to make the given profit is 192 shirts
<h3>Inequality expression</h3>
Inequalities are equations not separated by an equal sign.
If a cheerleading team plans to sell t-shirts as a fundraiser and the teams goal is to make profit of at least $1248 with each t-shirt sold at $6.50, then the equation required is;
6.50t ≥ 1246
Divide both sides by 6.50
6.50t/6.50 ≥1246/6.5
t ≥ 192
Hence the minimum number of shirt they will sell to make the given profit is 192 shirts
Learn more on inequality here: brainly.com/question/11613554
#SPJ1
Answer:
120
Step-by-step explanation:
solve for x then substitute