Respuesta :
Answer:
center = 98.6, variability = 0.08
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 [tex]s = \frac{\sigma}{\sqrt{n}}[/tex]
The center is the mean.
So [tex]\mu = 98.6[/tex]
The standard deviation of the sample of 50 adults is the variability, so
[tex]s = \frac{0.6}{\sqrt{50}} = 0.08[/tex]
So the correct answer is:
center = 98.6, variability = 0.08
The center is 98.6 and the variability is 0.08.
Central Limit Theorem:
Since The body temperatures of adults have a mean of 98.6°F and a standard deviation of 0.60° F.
The Central Limit Theorem developed that for a random variable X along with mean and standard deviation, the sample should be with size n of at least 30 can be expected to a normal distribution along with mean and standard deviation.
Now here the center should be equivalent to the mean i.e. 98.6
And, the variability is [tex]= {0.6}\div \sqrt50[/tex]
= 0.08
Learn more about standard deviation here: https://brainly.com/question/24552083
