Respuesta :
Using the Central Limit Theorem, it is found that the valid conclusion is given as follows:
The sampling distribution will probably not follow a normal distribution, hence we cannot draw a conclusion.
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the sampling distribution is also approximately normal, as long as n is at least 30.
In this problem, we have a skewed variable with a sample size less than 30, hence the Central Limit Theorem cannot be applied and the correct conclusion is:
The sampling distribution will probably not follow a normal distribution, hence we cannot draw a conclusion.
To learn more about the Central Limit Theorem, you can check https://brainly.com/question/24663213
