Respuesta :
Answer:
The standard error of the sampling distribution of the sample average is 0.6860.
Step-by-step explanation:
The Central Limit Theorem estabilishes that, for a random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sample means with size n of at least 30 can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation, also called standard error [tex]s = \frac{\sigma}{\sqrt{n}}[/tex]
In this problem, we have that:
[tex]\sigma = 4[/tex]
What is the standard error of the sampling distribution of the sample average?
This is s when n = 34. So
[tex]s = \frac{4}{\sqrt{34}} = 0.6860[/tex]
The standard error of the sampling distribution of the sample average is 0.6860.
Answer:
Standard error = 0.686
Step-by-step explanation:
We are given that a random sample of size 34 is obtained from a population with population mean 30 and population standard deviation 4, i.e.;
[tex]\mu[/tex] = 30 , [tex]\sigma[/tex] = 4 and n = 34
Standard error formula is given by = [tex]\frac{\sigma}{\sqrt{n} }[/tex]
where, [tex]\sigma[/tex] = population standard deviation = 4
n = sample size = 34
So, standard error = [tex]\frac{4}{\sqrt{34} }[/tex] = 0.686 .
