Do you have any multiple choice questions? because I would need some choices so i could help you answer the question.
The answer is 240. Associative property
(a*b)*c= a(b*c). Hope this helps!!
The answer for this would be the table to the right.
Answer:
(1/2)(1/2)
Step-by-step explanation:
Answer:
The sampling distribution of sample proportion is approximately normal, with mean 0.62 and standard deviation 0.0485.
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
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean
and standard deviation ![s = \sqrt{\frac{p(1-p)}{n}}](https://tex.z-dn.net/?f=s%20%3D%20%5Csqrt%7B%5Cfrac%7Bp%281-p%29%7D%7Bn%7D%7D)
62% of those people get some relief from taking ibuprofen (true proportion).
This means that ![p = 0.62](https://tex.z-dn.net/?f=p%20%3D%200.62)
Sample of 100
This means that ![n = 100](https://tex.z-dn.net/?f=n%20%3D%20100)
A. (4 pts.) Determine the sampling distribution of sample proportion. Also, find the mean and standard deviation of the sampling distribution.
By the Central Limit Theorem, it is approximately normal with
Mean ![\mu = p = 0.62](https://tex.z-dn.net/?f=%5Cmu%20%3D%20p%20%3D%200.62)
Standard deviation ![s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.62*0.38}{100}} = 0.0485](https://tex.z-dn.net/?f=s%20%3D%20%5Csqrt%7B%5Cfrac%7Bp%281-p%29%7D%7Bn%7D%7D%20%3D%20%5Csqrt%7B%5Cfrac%7B0.62%2A0.38%7D%7B100%7D%7D%20%3D%200.0485)