Respuesta :
Using the Central Limit Theorem, it is found that:
a) The shape is approximately normal.
b) It targets the population mean.
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.
Item a:
The variable is skewed, however, the sample size is greater than 30, hence the approximate shape of the distribution is normal.
Item b:
According to the mean of the sampling distributions, given by the Central Limit Theorem, it targets the population mean.
More can be learned about the Central Limit Theorem at https://brainly.com/question/24663213
