Answer:
The approximate standard deviation of the sampling distribution of the mean for all samples of size n is ![s = \frac{\sigma}{\sqrt{n}} = \frac{21}{\sqrt{n}}](https://tex.z-dn.net/?f=s%20%3D%20%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D%20%3D%20%5Cfrac%7B21%7D%7B%5Csqrt%7Bn%7D%7D)
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem establishes 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
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
The mean life expectancy of a certain type of light bulb is 945 hours with a standard deviation of 21 hours
This means that
.
What is the approximate standard deviation of the sampling distribution of the mean for all samples of size n?
![s = \frac{\sigma}{\sqrt{n}} = \frac{21}{\sqrt{n}}](https://tex.z-dn.net/?f=s%20%3D%20%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D%20%3D%20%5Cfrac%7B21%7D%7B%5Csqrt%7Bn%7D%7D)
The approximate standard deviation of the sampling distribution of the mean for all samples of size n is ![s = \frac{\sigma}{\sqrt{n}} = \frac{21}{\sqrt{n}}](https://tex.z-dn.net/?f=s%20%3D%20%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D%20%3D%20%5Cfrac%7B21%7D%7B%5Csqrt%7Bn%7D%7D)
BY USING MIDDLE TERM SPLITTING,
3y^2-(3y-2y)-2
(3y^2-3y)+(2y-2)
3y(y-1)+2(y-1)
(3y+2)(y-1)
HOPE THIS WILL HELP U
(6/13)/(6/12)= (6/13)*(12/6)= 12/13
This rule for division applies to all fraction divisions
Answer:
Hey there!
There are 3+4+6+3, or 16 females.
3 of the females are seniors.
Thus, the percent is 3/16, or 19%
Let me know if this helps :)
Answer:
x=70
Step-by-step explanation:
1)Write equation
2)Put line through equal sign
3) under -7n add 7
4)add 7 to 63 also
5)answer 63+7=70
6)x=70