30 POINTS
Suppose the average age of 42 meerkats in a clan is known to be 5.2 years-old. Which statement BEST describes a random sample of 15 meerkats from the clan?
A) The random sample of 15 meerkats should be exactly 5.2 years-old.
B) The random sample of 15 meerkats should be close to 5.2 years-old.
C) The random sample of 15 meerkats should be more than 5.2 years old.
D) The random sample of 15 meerkats should be less than 5.2 years old.

Respuesta :

Using the Central Limit Theorem, it is found that the correct option is:

  • B) The random sample of 15 meerkats should be close to 5.2 years-old.

The Central Limit Theorem states that taking a sample of size n for a population of mean [tex]\mu[/tex], the sample means are going to be close to [tex]\mu[/tex].

  • The larger the value of n, the closer the sample mean should be to [tex]\mu[/tex]

In the context of this problem, the sample mean should be close to 5.2 years old, and the correct option is B.

For more on the Central Limit Theorem, you can check https://brainly.com/question/25581475

Answer:

its b

Step-by-step explanation:

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