Answer:
The standard error of the mean is 0.0783.
Step-by-step explanation:
The Central Limit Theorem helps us find the standard error of the mean:
The Central Limit Theorem estabilishes that, for a random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], a large sample size can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\frac{\sigma}{\sqrt{n}}[/tex].
The standard deviation of the sample is the same as the standard error of the mean. So
[tex]SE_{M} = \frac{\sigma}{\sqrt{n}}[/tex]
In this problem, we have that:
[tex]\sigma = 0.35, n = 20[/tex]
So
[tex]SE_{M} = \frac{\sigma}{\sqrt{n}}[/tex]
[tex]SE_{M} = \frac{0.35}{\sqrt{20}}[/tex]
[tex]SE_{M} = 0.0783[/tex]
The standard error of the mean is 0.0783.
Answer:
0.08
Step-by-step explanation:
I got the answer correct on the quiz.
